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Finding the Fourth Proportional to 2,613.27, 3,920.28 and 1,646.13

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Solution

The fourth proportional to 2,613.27, 3,920.28 and 1,646.13 is: 2,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.27 : 3,920.28 = 1,646.13 : x
  2. Step 2: Convert to fraction form
    2,613.27/3,920.28 = 1,646.13/x
  3. Step 3: Cross multiply
    2,613.27x = 3,920.28 × 1,646.13
  4. Step 4: Simplify right side
    2,613.27x = 6,453,290.52
  5. Step 5: Solve for x
    x = 6,453,290.52/2,613.27
  6. Step 6: Final answer
    x = 2,469.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.