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Finding the Fourth Proportional to 2,677.34, 3,691.94 and 2,116.92

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Solution

The fourth proportional to 2,677.34, 3,691.94 and 2,116.92 is: 2,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.34 : 3,691.94 = 2,116.92 : x
  2. Step 2: Convert to fraction form
    2,677.34/3,691.94 = 2,116.92/x
  3. Step 3: Cross multiply
    2,677.34x = 3,691.94 × 2,116.92
  4. Step 4: Simplify right side
    2,677.34x = 7,815,541.62
  5. Step 5: Solve for x
    x = 7,815,541.62/2,677.34
  6. Step 6: Final answer
    x = 2,919.14

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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.