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Finding the Fourth Proportional to 2,508.57, 3,762.45 and 864.27

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Solution

The fourth proportional to 2,508.57, 3,762.45 and 864.27 is: 1,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.57 : 3,762.45 = 864.27 : x
  2. Step 2: Convert to fraction form
    2,508.57/3,762.45 = 864.27/x
  3. Step 3: Cross multiply
    2,508.57x = 3,762.45 × 864.27
  4. Step 4: Simplify right side
    2,508.57x = 3,251,772.66
  5. Step 5: Solve for x
    x = 3,251,772.66/2,508.57
  6. Step 6: Final answer
    x = 1,296.27

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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.