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Finding the Fourth Proportional to 1,614.93, 2,424.83 and 922.38

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Solution

The fourth proportional to 1,614.93, 2,424.83 and 922.38 is: 1,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.93 : 2,424.83 = 922.38 : x
  2. Step 2: Convert to fraction form
    1,614.93/2,424.83 = 922.38/x
  3. Step 3: Cross multiply
    1,614.93x = 2,424.83 × 922.38
  4. Step 4: Simplify right side
    1,614.93x = 2,236,614.70
  5. Step 5: Solve for x
    x = 2,236,614.70/1,614.93
  6. Step 6: Final answer
    x = 1,384.96

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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.