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Finding the Fourth Proportional to 1,379.46, 1,902.78 and 1,084.62

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Solution

The fourth proportional to 1,379.46, 1,902.78 and 1,084.62 is: 1,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.46 : 1,902.78 = 1,084.62 : x
  2. Step 2: Convert to fraction form
    1,379.46/1,902.78 = 1,084.62/x
  3. Step 3: Cross multiply
    1,379.46x = 1,902.78 × 1,084.62
  4. Step 4: Simplify right side
    1,379.46x = 2,063,793.24
  5. Step 5: Solve for x
    x = 2,063,793.24/1,379.46
  6. Step 6: Final answer
    x = 1,496.09

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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.