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Finding the Fourth Proportional to 2,115.80, 3,171.78 and 818.24

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Solution

The fourth proportional to 2,115.80, 3,171.78 and 818.24 is: 1,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.80 : 3,171.78 = 818.24 : x
  2. Step 2: Convert to fraction form
    2,115.80/3,171.78 = 818.24/x
  3. Step 3: Cross multiply
    2,115.80x = 3,171.78 × 818.24
  4. Step 4: Simplify right side
    2,115.80x = 2,595,277.27
  5. Step 5: Solve for x
    x = 2,595,277.27/2,115.80
  6. Step 6: Final answer
    x = 1,226.62

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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.