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Finding the Fourth Proportional to 2,101.92, 3,149.42 and 1,277.70

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Solution

The fourth proportional to 2,101.92, 3,149.42 and 1,277.70 is: 1,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.92 : 3,149.42 = 1,277.70 : x
  2. Step 2: Convert to fraction form
    2,101.92/3,149.42 = 1,277.70/x
  3. Step 3: Cross multiply
    2,101.92x = 3,149.42 × 1,277.70
  4. Step 4: Simplify right side
    2,101.92x = 4,024,013.93
  5. Step 5: Solve for x
    x = 4,024,013.93/2,101.92
  6. Step 6: Final answer
    x = 1,914.45

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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.