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Finding the Fourth Proportional to 2,182.76, 3,273.39 and 865.88

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Solution

The fourth proportional to 2,182.76, 3,273.39 and 865.88 is: 1,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.76 : 3,273.39 = 865.88 : x
  2. Step 2: Convert to fraction form
    2,182.76/3,273.39 = 865.88/x
  3. Step 3: Cross multiply
    2,182.76x = 3,273.39 × 865.88
  4. Step 4: Simplify right side
    2,182.76x = 2,834,346.57
  5. Step 5: Solve for x
    x = 2,834,346.57/2,182.76
  6. Step 6: Final answer
    x = 1,298.52

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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.