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Finding the Fourth Proportional to 1,510.97, 2,270.52 and 818.15

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Solution

The fourth proportional to 1,510.97, 2,270.52 and 818.15 is: 1,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.97 : 2,270.52 = 818.15 : x
  2. Step 2: Convert to fraction form
    1,510.97/2,270.52 = 818.15/x
  3. Step 3: Cross multiply
    1,510.97x = 2,270.52 × 818.15
  4. Step 4: Simplify right side
    1,510.97x = 1,857,614.59
  5. Step 5: Solve for x
    x = 1,857,614.59/1,510.97
  6. Step 6: Final answer
    x = 1,229.42

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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.