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Finding the Fourth Proportional to 2,443.92, 3,665.49 and 800.43

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Solution

The fourth proportional to 2,443.92, 3,665.49 and 800.43 is: 1,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.92 : 3,665.49 = 800.43 : x
  2. Step 2: Convert to fraction form
    2,443.92/3,665.49 = 800.43/x
  3. Step 3: Cross multiply
    2,443.92x = 3,665.49 × 800.43
  4. Step 4: Simplify right side
    2,443.92x = 2,933,968.16
  5. Step 5: Solve for x
    x = 2,933,968.16/2,443.92
  6. Step 6: Final answer
    x = 1,200.52

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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.