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Finding the Fourth Proportional to 2,340.91, 3,511.82 and 1,109.71

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Solution

The fourth proportional to 2,340.91, 3,511.82 and 1,109.71 is: 1,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.91 : 3,511.82 = 1,109.71 : x
  2. Step 2: Convert to fraction form
    2,340.91/3,511.82 = 1,109.71/x
  3. Step 3: Cross multiply
    2,340.91x = 3,511.82 × 1,109.71
  4. Step 4: Simplify right side
    2,340.91x = 3,897,101.77
  5. Step 5: Solve for x
    x = 3,897,101.77/2,340.91
  6. Step 6: Final answer
    x = 1,664.78

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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.