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Finding the Fourth Proportional to 1,249.71, 1,874.97 and 1,141.17

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Solution

The fourth proportional to 1,249.71, 1,874.97 and 1,141.17 is: 1,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.71 : 1,874.97 = 1,141.17 : x
  2. Step 2: Convert to fraction form
    1,249.71/1,874.97 = 1,141.17/x
  3. Step 3: Cross multiply
    1,249.71x = 1,874.97 × 1,141.17
  4. Step 4: Simplify right side
    1,249.71x = 2,139,659.51
  5. Step 5: Solve for x
    x = 2,139,659.51/1,249.71
  6. Step 6: Final answer
    x = 1,712.12

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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.