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Finding the Fourth Proportional to 2,966.39, 4,449.12 and 991.71

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Solution

The fourth proportional to 2,966.39, 4,449.12 and 991.71 is: 1,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.39 : 4,449.12 = 991.71 : x
  2. Step 2: Convert to fraction form
    2,966.39/4,449.12 = 991.71/x
  3. Step 3: Cross multiply
    2,966.39x = 4,449.12 × 991.71
  4. Step 4: Simplify right side
    2,966.39x = 4,412,236.80
  5. Step 5: Solve for x
    x = 4,412,236.80/2,966.39
  6. Step 6: Final answer
    x = 1,487.41

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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.