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Finding the Fourth Proportional to 1,921.34, 2,652.78 and 1,472.43

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Solution

The fourth proportional to 1,921.34, 2,652.78 and 1,472.43 is: 2,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.34 : 2,652.78 = 1,472.43 : x
  2. Step 2: Convert to fraction form
    1,921.34/2,652.78 = 1,472.43/x
  3. Step 3: Cross multiply
    1,921.34x = 2,652.78 × 1,472.43
  4. Step 4: Simplify right side
    1,921.34x = 3,906,032.86
  5. Step 5: Solve for x
    x = 3,906,032.86/1,921.34
  6. Step 6: Final answer
    x = 2,032.97

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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.