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Finding the Fourth Proportional to 2,354.76, 3,249.44 and 1,306.76

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Solution

The fourth proportional to 2,354.76, 3,249.44 and 1,306.76 is: 1,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.76 : 3,249.44 = 1,306.76 : x
  2. Step 2: Convert to fraction form
    2,354.76/3,249.44 = 1,306.76/x
  3. Step 3: Cross multiply
    2,354.76x = 3,249.44 × 1,306.76
  4. Step 4: Simplify right side
    2,354.76x = 4,246,238.21
  5. Step 5: Solve for x
    x = 4,246,238.21/2,354.76
  6. Step 6: Final answer
    x = 1,803.26

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,355.76, 3,250.82 and 1,307.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.