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Finding the Fourth Proportional to 2,426.39, 3,637.52 and 865.92

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Solution

The fourth proportional to 2,426.39, 3,637.52 and 865.92 is: 1,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.39 : 3,637.52 = 865.92 : x
  2. Step 2: Convert to fraction form
    2,426.39/3,637.52 = 865.92/x
  3. Step 3: Cross multiply
    2,426.39x = 3,637.52 × 865.92
  4. Step 4: Simplify right side
    2,426.39x = 3,149,801.32
  5. Step 5: Solve for x
    x = 3,149,801.32/2,426.39
  6. Step 6: Final answer
    x = 1,298.14

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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.