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Finding the Fourth Proportional to 2,697.46, 4,046.17 and 2,203.32

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Solution

The fourth proportional to 2,697.46, 4,046.17 and 2,203.32 is: 3,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.46 : 4,046.17 = 2,203.32 : x
  2. Step 2: Convert to fraction form
    2,697.46/4,046.17 = 2,203.32/x
  3. Step 3: Cross multiply
    2,697.46x = 4,046.17 × 2,203.32
  4. Step 4: Simplify right side
    2,697.46x = 8,915,007.28
  5. Step 5: Solve for x
    x = 8,915,007.28/2,697.46
  6. Step 6: Final answer
    x = 3,304.96

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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.