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Finding the Fourth Proportional to 1,379.74, 1,902.17 and 936.87

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Solution

The fourth proportional to 1,379.74, 1,902.17 and 936.87 is: 1,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.74 : 1,902.17 = 936.87 : x
  2. Step 2: Convert to fraction form
    1,379.74/1,902.17 = 936.87/x
  3. Step 3: Cross multiply
    1,379.74x = 1,902.17 × 936.87
  4. Step 4: Simplify right side
    1,379.74x = 1,782,086.01
  5. Step 5: Solve for x
    x = 1,782,086.01/1,379.74
  6. Step 6: Final answer
    x = 1,291.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.