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Finding the Fourth Proportional to 1,249.31, 1,876.19 and 1,185.52

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Solution

The fourth proportional to 1,249.31, 1,876.19 and 1,185.52 is: 1,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.31 : 1,876.19 = 1,185.52 : x
  2. Step 2: Convert to fraction form
    1,249.31/1,876.19 = 1,185.52/x
  3. Step 3: Cross multiply
    1,249.31x = 1,876.19 × 1,185.52
  4. Step 4: Simplify right side
    1,249.31x = 2,224,260.77
  5. Step 5: Solve for x
    x = 2,224,260.77/1,249.31
  6. Step 6: Final answer
    x = 1,780.39

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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.