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Finding the Fourth Proportional to 3,115.70, 4,295.14 and 2,229.98

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Solution

The fourth proportional to 3,115.70, 4,295.14 and 2,229.98 is: 3,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.70 : 4,295.14 = 2,229.98 : x
  2. Step 2: Convert to fraction form
    3,115.70/4,295.14 = 2,229.98/x
  3. Step 3: Cross multiply
    3,115.70x = 4,295.14 × 2,229.98
  4. Step 4: Simplify right side
    3,115.70x = 9,578,076.30
  5. Step 5: Solve for x
    x = 9,578,076.30/3,115.70
  6. Step 6: Final answer
    x = 3,074.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.