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Finding the Fourth Proportional to 2,772.46, 4,167.60 and 2,230.66

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Solution

The fourth proportional to 2,772.46, 4,167.60 and 2,230.66 is: 3,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.46 : 4,167.60 = 2,230.66 : x
  2. Step 2: Convert to fraction form
    2,772.46/4,167.60 = 2,230.66/x
  3. Step 3: Cross multiply
    2,772.46x = 4,167.60 × 2,230.66
  4. Step 4: Simplify right side
    2,772.46x = 9,296,498.62
  5. Step 5: Solve for x
    x = 9,296,498.62/2,772.46
  6. Step 6: Final answer
    x = 3,353.16

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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.