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Finding the Fourth Proportional to 2,514.68, 3,772.49 and 1,013.81

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Solution

The fourth proportional to 2,514.68, 3,772.49 and 1,013.81 is: 1,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.68 : 3,772.49 = 1,013.81 : x
  2. Step 2: Convert to fraction form
    2,514.68/3,772.49 = 1,013.81/x
  3. Step 3: Cross multiply
    2,514.68x = 3,772.49 × 1,013.81
  4. Step 4: Simplify right side
    2,514.68x = 3,824,564.16
  5. Step 5: Solve for x
    x = 3,824,564.16/2,514.68
  6. Step 6: Final answer
    x = 1,520.90

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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.