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Finding the Fourth Proportional to 1,502.88, 2,253.96 and 762.27

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Solution

The fourth proportional to 1,502.88, 2,253.96 and 762.27 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.88 : 2,253.96 = 762.27 : x
  2. Step 2: Convert to fraction form
    1,502.88/2,253.96 = 762.27/x
  3. Step 3: Cross multiply
    1,502.88x = 2,253.96 × 762.27
  4. Step 4: Simplify right side
    1,502.88x = 1,718,126.09
  5. Step 5: Solve for x
    x = 1,718,126.09/1,502.88
  6. Step 6: Final answer
    x = 1,143.22

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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.