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Finding the Fourth Proportional to 2,508.39, 3,762.89 and 865.31

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Solution

The fourth proportional to 2,508.39, 3,762.89 and 865.31 is: 1,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.39 : 3,762.89 = 865.31 : x
  2. Step 2: Convert to fraction form
    2,508.39/3,762.89 = 865.31/x
  3. Step 3: Cross multiply
    2,508.39x = 3,762.89 × 865.31
  4. Step 4: Simplify right side
    2,508.39x = 3,256,043.20
  5. Step 5: Solve for x
    x = 3,256,043.20/2,508.39
  6. Step 6: Final answer
    x = 1,298.06

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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.