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Finding the Fourth Proportional to 1,514.59, 2,272.76 and 865.78

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Solution

The fourth proportional to 1,514.59, 2,272.76 and 865.78 is: 1,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.59 : 2,272.76 = 865.78 : x
  2. Step 2: Convert to fraction form
    1,514.59/2,272.76 = 865.78/x
  3. Step 3: Cross multiply
    1,514.59x = 2,272.76 × 865.78
  4. Step 4: Simplify right side
    1,514.59x = 1,967,694.46
  5. Step 5: Solve for x
    x = 1,967,694.46/1,514.59
  6. Step 6: Final answer
    x = 1,299.16

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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.