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Finding the Fourth Proportional to 2,092.20, 3,138.08 and 859.74

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Solution

The fourth proportional to 2,092.20, 3,138.08 and 859.74 is: 1,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.20 : 3,138.08 = 859.74 : x
  2. Step 2: Convert to fraction form
    2,092.20/3,138.08 = 859.74/x
  3. Step 3: Cross multiply
    2,092.20x = 3,138.08 × 859.74
  4. Step 4: Simplify right side
    2,092.20x = 2,697,932.90
  5. Step 5: Solve for x
    x = 2,697,932.90/2,092.20
  6. Step 6: Final answer
    x = 1,289.52

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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.