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Finding the Fourth Proportional to 2,092.97, 3,138.37 and 860.15

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Solution

The fourth proportional to 2,092.97, 3,138.37 and 860.15 is: 1,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.97 : 3,138.37 = 860.15 : x
  2. Step 2: Convert to fraction form
    2,092.97/3,138.37 = 860.15/x
  3. Step 3: Cross multiply
    2,092.97x = 3,138.37 × 860.15
  4. Step 4: Simplify right side
    2,092.97x = 2,699,451.11
  5. Step 5: Solve for x
    x = 2,699,451.11/2,092.97
  6. Step 6: Final answer
    x = 1,289.77

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1.5x scale

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.