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Finding the Fourth Proportional to 3,266.82, 4,508.10 and 1,774.71

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Solution

The fourth proportional to 3,266.82, 4,508.10 and 1,774.71 is: 2,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.82 : 4,508.10 = 1,774.71 : x
  2. Step 2: Convert to fraction form
    3,266.82/4,508.10 = 1,774.71/x
  3. Step 3: Cross multiply
    3,266.82x = 4,508.10 × 1,774.71
  4. Step 4: Simplify right side
    3,266.82x = 8,000,570.15
  5. Step 5: Solve for x
    x = 8,000,570.15/3,266.82
  6. Step 6: Final answer
    x = 2,449.04

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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.