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Finding the Fourth Proportional to 1,380.92, 1,906.32 and 884.28

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Solution

The fourth proportional to 1,380.92, 1,906.32 and 884.28 is: 1,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.92 : 1,906.32 = 884.28 : x
  2. Step 2: Convert to fraction form
    1,380.92/1,906.32 = 884.28/x
  3. Step 3: Cross multiply
    1,380.92x = 1,906.32 × 884.28
  4. Step 4: Simplify right side
    1,380.92x = 1,685,720.65
  5. Step 5: Solve for x
    x = 1,685,720.65/1,380.92
  6. Step 6: Final answer
    x = 1,220.72

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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.