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Finding the Fourth Proportional to 1,883.38, 2,599.17 and 1,294.18

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Solution

The fourth proportional to 1,883.38, 2,599.17 and 1,294.18 is: 1,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.38 : 2,599.17 = 1,294.18 : x
  2. Step 2: Convert to fraction form
    1,883.38/2,599.17 = 1,294.18/x
  3. Step 3: Cross multiply
    1,883.38x = 2,599.17 × 1,294.18
  4. Step 4: Simplify right side
    1,883.38x = 3,363,793.83
  5. Step 5: Solve for x
    x = 3,363,793.83/1,883.38
  6. Step 6: Final answer
    x = 1,786.04

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Why These Related Problems?

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