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Finding the Fourth Proportional to 1,249.31, 1,878.02 and 1,159.13

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Solution

The fourth proportional to 1,249.31, 1,878.02 and 1,159.13 is: 1,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.31 : 1,878.02 = 1,159.13 : x
  2. Step 2: Convert to fraction form
    1,249.31/1,878.02 = 1,159.13/x
  3. Step 3: Cross multiply
    1,249.31x = 1,878.02 × 1,159.13
  4. Step 4: Simplify right side
    1,249.31x = 2,176,872.57
  5. Step 5: Solve for x
    x = 2,176,872.57/1,249.31
  6. Step 6: Final answer
    x = 1,742.46

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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.