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Finding the Fourth Proportional to 1,249.70, 1,872.21 and 1,045.58

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Solution

The fourth proportional to 1,249.70, 1,872.21 and 1,045.58 is: 1,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.70 : 1,872.21 = 1,045.58 : x
  2. Step 2: Convert to fraction form
    1,249.70/1,872.21 = 1,045.58/x
  3. Step 3: Cross multiply
    1,249.70x = 1,872.21 × 1,045.58
  4. Step 4: Simplify right side
    1,249.70x = 1,957,545.33
  5. Step 5: Solve for x
    x = 1,957,545.33/1,249.70
  6. Step 6: Final answer
    x = 1,566.41

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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.