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Finding the Fourth Proportional to 1,425.13, 2,136.87 and 766.18

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Solution

The fourth proportional to 1,425.13, 2,136.87 and 766.18 is: 1,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.13 : 2,136.87 = 766.18 : x
  2. Step 2: Convert to fraction form
    1,425.13/2,136.87 = 766.18/x
  3. Step 3: Cross multiply
    1,425.13x = 2,136.87 × 766.18
  4. Step 4: Simplify right side
    1,425.13x = 1,637,227.06
  5. Step 5: Solve for x
    x = 1,637,227.06/1,425.13
  6. Step 6: Final answer
    x = 1,148.83

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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.