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Finding the Fourth Proportional to 2,442.74, 3,664.17 and 2,093.90

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Solution

The fourth proportional to 2,442.74, 3,664.17 and 2,093.90 is: 3,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.74 : 3,664.17 = 2,093.90 : x
  2. Step 2: Convert to fraction form
    2,442.74/3,664.17 = 2,093.90/x
  3. Step 3: Cross multiply
    2,442.74x = 3,664.17 × 2,093.90
  4. Step 4: Simplify right side
    2,442.74x = 7,672,387.24
  5. Step 5: Solve for x
    x = 7,672,387.24/2,442.74
  6. Step 6: Final answer
    x = 3,140.90

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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.