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Finding the Fourth Proportional to 2,113.32, 3,171.30 and 814.92

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Solution

The fourth proportional to 2,113.32, 3,171.30 and 814.92 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.32 : 3,171.30 = 814.92 : x
  2. Step 2: Convert to fraction form
    2,113.32/3,171.30 = 814.92/x
  3. Step 3: Cross multiply
    2,113.32x = 3,171.30 × 814.92
  4. Step 4: Simplify right side
    2,113.32x = 2,584,355.80
  5. Step 5: Solve for x
    x = 2,584,355.80/2,113.32
  6. Step 6: Final answer
    x = 1,222.89

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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.