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Finding the Fourth Proportional to 2,092.86, 3,138.09 and 861.13

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Solution

The fourth proportional to 2,092.86, 3,138.09 and 861.13 is: 1,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.86 : 3,138.09 = 861.13 : x
  2. Step 2: Convert to fraction form
    2,092.86/3,138.09 = 861.13/x
  3. Step 3: Cross multiply
    2,092.86x = 3,138.09 × 861.13
  4. Step 4: Simplify right side
    2,092.86x = 2,702,303.44
  5. Step 5: Solve for x
    x = 2,702,303.44/2,092.86
  6. Step 6: Final answer
    x = 1,291.20

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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.