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Finding the Fourth Proportional to 2,411.78, 3,613.14 and 1,924.28

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Solution

The fourth proportional to 2,411.78, 3,613.14 and 1,924.28 is: 2,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.78 : 3,613.14 = 1,924.28 : x
  2. Step 2: Convert to fraction form
    2,411.78/3,613.14 = 1,924.28/x
  3. Step 3: Cross multiply
    2,411.78x = 3,613.14 × 1,924.28
  4. Step 4: Simplify right side
    2,411.78x = 6,952,693.04
  5. Step 5: Solve for x
    x = 6,952,693.04/2,411.78
  6. Step 6: Final answer
    x = 2,882.81

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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.