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Finding the Fourth Proportional to 2,354.46, 3,249.24 and 1,306.50

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Solution

The fourth proportional to 2,354.46, 3,249.24 and 1,306.50 is: 1,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.46 : 3,249.24 = 1,306.50 : x
  2. Step 2: Convert to fraction form
    2,354.46/3,249.24 = 1,306.50/x
  3. Step 3: Cross multiply
    2,354.46x = 3,249.24 × 1,306.50
  4. Step 4: Simplify right side
    2,354.46x = 4,245,132.06
  5. Step 5: Solve for x
    x = 4,245,132.06/2,354.46
  6. Step 6: Final answer
    x = 1,803.02

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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.