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Finding the Fourth Proportional to 3,011.75, 4,517.63 and 931.71

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Solution

The fourth proportional to 3,011.75, 4,517.63 and 931.71 is: 1,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.75 : 4,517.63 = 931.71 : x
  2. Step 2: Convert to fraction form
    3,011.75/4,517.63 = 931.71/x
  3. Step 3: Cross multiply
    3,011.75x = 4,517.63 × 931.71
  4. Step 4: Simplify right side
    3,011.75x = 4,209,115.24
  5. Step 5: Solve for x
    x = 4,209,115.24/3,011.75
  6. Step 6: Final answer
    x = 1,397.56

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Similar ratio
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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.