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Finding the Fourth Proportional to 2,443.20, 3,665.20 and 1,348.62

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Solution

The fourth proportional to 2,443.20, 3,665.20 and 1,348.62 is: 2,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.20 : 3,665.20 = 1,348.62 : x
  2. Step 2: Convert to fraction form
    2,443.20/3,665.20 = 1,348.62/x
  3. Step 3: Cross multiply
    2,443.20x = 3,665.20 × 1,348.62
  4. Step 4: Simplify right side
    2,443.20x = 4,942,962.02
  5. Step 5: Solve for x
    x = 4,942,962.02/2,443.20
  6. Step 6: Final answer
    x = 2,023.15

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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.