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Finding the Fourth Proportional to 3,402.68, 4,694.47 and 2,224.42

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Solution

The fourth proportional to 3,402.68, 4,694.47 and 2,224.42 is: 3,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.68 : 4,694.47 = 2,224.42 : x
  2. Step 2: Convert to fraction form
    3,402.68/4,694.47 = 2,224.42/x
  3. Step 3: Cross multiply
    3,402.68x = 4,694.47 × 2,224.42
  4. Step 4: Simplify right side
    3,402.68x = 10,442,455.66
  5. Step 5: Solve for x
    x = 10,442,455.66/3,402.68
  6. Step 6: Final answer
    x = 3,068.90

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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.