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Finding the Fourth Proportional to 1,862.26, 2,793.42 and 807.83

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Solution

The fourth proportional to 1,862.26, 2,793.42 and 807.83 is: 1,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.26 : 2,793.42 = 807.83 : x
  2. Step 2: Convert to fraction form
    1,862.26/2,793.42 = 807.83/x
  3. Step 3: Cross multiply
    1,862.26x = 2,793.42 × 807.83
  4. Step 4: Simplify right side
    1,862.26x = 2,256,612.43
  5. Step 5: Solve for x
    x = 2,256,612.43/1,862.26
  6. Step 6: Final answer
    x = 1,211.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.