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Finding the Fourth Proportional to 1,424.27, 2,136.02 and 546.89

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Solution

The fourth proportional to 1,424.27, 2,136.02 and 546.89 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.27 : 2,136.02 = 546.89 : x
  2. Step 2: Convert to fraction form
    1,424.27/2,136.02 = 546.89/x
  3. Step 3: Cross multiply
    1,424.27x = 2,136.02 × 546.89
  4. Step 4: Simplify right side
    1,424.27x = 1,168,154.56
  5. Step 5: Solve for x
    x = 1,168,154.56/1,424.27
  6. Step 6: Final answer
    x = 820.18

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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.