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Finding the Fourth Proportional to 3,397.88, 4,684.68 and 2,200.74

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Solution

The fourth proportional to 3,397.88, 4,684.68 and 2,200.74 is: 3,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.88 : 4,684.68 = 2,200.74 : x
  2. Step 2: Convert to fraction form
    3,397.88/4,684.68 = 2,200.74/x
  3. Step 3: Cross multiply
    3,397.88x = 4,684.68 × 2,200.74
  4. Step 4: Simplify right side
    3,397.88x = 10,309,739.24
  5. Step 5: Solve for x
    x = 10,309,739.24/3,397.88
  6. Step 6: Final answer
    x = 3,034.17

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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.