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Finding the Fourth Proportional to 3,397.78, 4,689.18 and 1,906

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Solution

The fourth proportional to 3,397.78, 4,689.18 and 1,906 is: 2,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.78 : 4,689.18 = 1,906 : x
  2. Step 2: Convert to fraction form
    3,397.78/4,689.18 = 1,906/x
  3. Step 3: Cross multiply
    3,397.78x = 4,689.18 × 1,906
  4. Step 4: Simplify right side
    3,397.78x = 8,937,577.08
  5. Step 5: Solve for x
    x = 8,937,577.08/3,397.78
  6. Step 6: Final answer
    x = 2,630.42

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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.