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Finding the Fourth Proportional to 1,380.15, 1,902.42 and 1,020.61

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Solution

The fourth proportional to 1,380.15, 1,902.42 and 1,020.61 is: 1,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.15 : 1,902.42 = 1,020.61 : x
  2. Step 2: Convert to fraction form
    1,380.15/1,902.42 = 1,020.61/x
  3. Step 3: Cross multiply
    1,380.15x = 1,902.42 × 1,020.61
  4. Step 4: Simplify right side
    1,380.15x = 1,941,631.25
  5. Step 5: Solve for x
    x = 1,941,631.25/1,380.15
  6. Step 6: Final answer
    x = 1,406.83

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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.