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Finding the Fourth Proportional to 1,505.92, 2,079.48 and 1,456.96

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Solution

The fourth proportional to 1,505.92, 2,079.48 and 1,456.96 is: 2,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.92 : 2,079.48 = 1,456.96 : x
  2. Step 2: Convert to fraction form
    1,505.92/2,079.48 = 1,456.96/x
  3. Step 3: Cross multiply
    1,505.92x = 2,079.48 × 1,456.96
  4. Step 4: Simplify right side
    1,505.92x = 3,029,719.18
  5. Step 5: Solve for x
    x = 3,029,719.18/1,505.92
  6. Step 6: Final answer
    x = 2,011.87

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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.