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Finding the Fourth Proportional to 3,149.75, 4,724.82 and 958.64

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Solution

The fourth proportional to 3,149.75, 4,724.82 and 958.64 is: 1,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.75 : 4,724.82 = 958.64 : x
  2. Step 2: Convert to fraction form
    3,149.75/4,724.82 = 958.64/x
  3. Step 3: Cross multiply
    3,149.75x = 4,724.82 × 958.64
  4. Step 4: Simplify right side
    3,149.75x = 4,529,401.44
  5. Step 5: Solve for x
    x = 4,529,401.44/3,149.75
  6. Step 6: Final answer
    x = 1,438.02

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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.