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Finding the Fourth Proportional to 1,424.56, 2,136.12 and 487.20

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Solution

The fourth proportional to 1,424.56, 2,136.12 and 487.20 is: 730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.56 : 2,136.12 = 487.20 : x
  2. Step 2: Convert to fraction form
    1,424.56/2,136.12 = 487.20/x
  3. Step 3: Cross multiply
    1,424.56x = 2,136.12 × 487.20
  4. Step 4: Simplify right side
    1,424.56x = 1,040,717.66
  5. Step 5: Solve for x
    x = 1,040,717.66/1,424.56
  6. Step 6: Final answer
    x = 730.55

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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.