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Finding the Fourth Proportional to 1,456.38, 2,181.48 and 724.41

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Solution

The fourth proportional to 1,456.38, 2,181.48 and 724.41 is: 1,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.38 : 2,181.48 = 724.41 : x
  2. Step 2: Convert to fraction form
    1,456.38/2,181.48 = 724.41/x
  3. Step 3: Cross multiply
    1,456.38x = 2,181.48 × 724.41
  4. Step 4: Simplify right side
    1,456.38x = 1,580,285.93
  5. Step 5: Solve for x
    x = 1,580,285.93/1,456.38
  6. Step 6: Final answer
    x = 1,085.08

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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.