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Finding the Fourth Proportional to 2,104.92, 3,155.49 and 1,166.49

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Solution

The fourth proportional to 2,104.92, 3,155.49 and 1,166.49 is: 1,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.92 : 3,155.49 = 1,166.49 : x
  2. Step 2: Convert to fraction form
    2,104.92/3,155.49 = 1,166.49/x
  3. Step 3: Cross multiply
    2,104.92x = 3,155.49 × 1,166.49
  4. Step 4: Simplify right side
    2,104.92x = 3,680,847.53
  5. Step 5: Solve for x
    x = 3,680,847.53/2,104.92
  6. Step 6: Final answer
    x = 1,748.69

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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.