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Finding the Fourth Proportional to 1,791.72, 2,472.54 and 984.18

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Solution

The fourth proportional to 1,791.72, 2,472.54 and 984.18 is: 1,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.72 : 2,472.54 = 984.18 : x
  2. Step 2: Convert to fraction form
    1,791.72/2,472.54 = 984.18/x
  3. Step 3: Cross multiply
    1,791.72x = 2,472.54 × 984.18
  4. Step 4: Simplify right side
    1,791.72x = 2,433,424.42
  5. Step 5: Solve for x
    x = 2,433,424.42/1,791.72
  6. Step 6: Final answer
    x = 1,358.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.