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Finding the Fourth Proportional to 2,443.92, 3,665.25 and 800.52

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Solution

The fourth proportional to 2,443.92, 3,665.25 and 800.52 is: 1,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.92 : 3,665.25 = 800.52 : x
  2. Step 2: Convert to fraction form
    2,443.92/3,665.25 = 800.52/x
  3. Step 3: Cross multiply
    2,443.92x = 3,665.25 × 800.52
  4. Step 4: Simplify right side
    2,443.92x = 2,934,105.93
  5. Step 5: Solve for x
    x = 2,934,105.93/2,443.92
  6. Step 6: Final answer
    x = 1,200.57

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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.