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Finding the Fourth Proportional to 2,442.67, 3,659.12 and 1,468.24

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Solution

The fourth proportional to 2,442.67, 3,659.12 and 1,468.24 is: 2,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.67 : 3,659.12 = 1,468.24 : x
  2. Step 2: Convert to fraction form
    2,442.67/3,659.12 = 1,468.24/x
  3. Step 3: Cross multiply
    2,442.67x = 3,659.12 × 1,468.24
  4. Step 4: Simplify right side
    2,442.67x = 5,372,470.02
  5. Step 5: Solve for x
    x = 5,372,470.02/2,442.67
  6. Step 6: Final answer
    x = 2,199.43

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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.