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Finding the Fourth Proportional to 2,442.60, 3,663.90 and 2,114.55

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Solution

The fourth proportional to 2,442.60, 3,663.90 and 2,114.55 is: 3,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.60 : 3,663.90 = 2,114.55 : x
  2. Step 2: Convert to fraction form
    2,442.60/3,663.90 = 2,114.55/x
  3. Step 3: Cross multiply
    2,442.60x = 3,663.90 × 2,114.55
  4. Step 4: Simplify right side
    2,442.60x = 7,747,499.75
  5. Step 5: Solve for x
    x = 7,747,499.75/2,442.60
  6. Step 6: Final answer
    x = 3,171.83

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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.