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Finding the Fourth Proportional to 1,249.82, 1,865.23 and 1,111.43

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Solution

The fourth proportional to 1,249.82, 1,865.23 and 1,111.43 is: 1,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.82 : 1,865.23 = 1,111.43 : x
  2. Step 2: Convert to fraction form
    1,249.82/1,865.23 = 1,111.43/x
  3. Step 3: Cross multiply
    1,249.82x = 1,865.23 × 1,111.43
  4. Step 4: Simplify right side
    1,249.82x = 2,073,074.46
  5. Step 5: Solve for x
    x = 2,073,074.46/1,249.82
  6. Step 6: Final answer
    x = 1,658.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.