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Finding the Fourth Proportional to 2,066.18, 3,101.70 and 1,249.70

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Solution

The fourth proportional to 2,066.18, 3,101.70 and 1,249.70 is: 1,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.18 : 3,101.70 = 1,249.70 : x
  2. Step 2: Convert to fraction form
    2,066.18/3,101.70 = 1,249.70/x
  3. Step 3: Cross multiply
    2,066.18x = 3,101.70 × 1,249.70
  4. Step 4: Simplify right side
    2,066.18x = 3,876,194.49
  5. Step 5: Solve for x
    x = 3,876,194.49/2,066.18
  6. Step 6: Final answer
    x = 1,876.02

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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.