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Finding the Fourth Proportional to 2,092.20, 3,138.10 and 859.76

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Solution

The fourth proportional to 2,092.20, 3,138.10 and 859.76 is: 1,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.20 : 3,138.10 = 859.76 : x
  2. Step 2: Convert to fraction form
    2,092.20/3,138.10 = 859.76/x
  3. Step 3: Cross multiply
    2,092.20x = 3,138.10 × 859.76
  4. Step 4: Simplify right side
    2,092.20x = 2,698,012.86
  5. Step 5: Solve for x
    x = 2,698,012.86/2,092.20
  6. Step 6: Final answer
    x = 1,289.56

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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.