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Finding the Fourth Proportional to 3,149.70, 4,724.24 and 958.46

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Solution

The fourth proportional to 3,149.70, 4,724.24 and 958.46 is: 1,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.70 : 4,724.24 = 958.46 : x
  2. Step 2: Convert to fraction form
    3,149.70/4,724.24 = 958.46/x
  3. Step 3: Cross multiply
    3,149.70x = 4,724.24 × 958.46
  4. Step 4: Simplify right side
    3,149.70x = 4,527,966.66
  5. Step 5: Solve for x
    x = 4,527,966.66/3,149.70
  6. Step 6: Final answer
    x = 1,437.59

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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.