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Finding the Fourth Proportional to 2,949.12, 4,442.22 and 2,497.14

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Solution

The fourth proportional to 2,949.12, 4,442.22 and 2,497.14 is: 3,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.12 : 4,442.22 = 2,497.14 : x
  2. Step 2: Convert to fraction form
    2,949.12/4,442.22 = 2,497.14/x
  3. Step 3: Cross multiply
    2,949.12x = 4,442.22 × 2,497.14
  4. Step 4: Simplify right side
    2,949.12x = 11,092,845.25
  5. Step 5: Solve for x
    x = 11,092,845.25/2,949.12
  6. Step 6: Final answer
    x = 3,761.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.