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Finding the Fourth Proportional to 3,152.38, 4,728.02 and 960.70

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Solution

The fourth proportional to 3,152.38, 4,728.02 and 960.70 is: 1,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.38 : 4,728.02 = 960.70 : x
  2. Step 2: Convert to fraction form
    3,152.38/4,728.02 = 960.70/x
  3. Step 3: Cross multiply
    3,152.38x = 4,728.02 × 960.70
  4. Step 4: Simplify right side
    3,152.38x = 4,542,208.81
  5. Step 5: Solve for x
    x = 4,542,208.81/3,152.38
  6. Step 6: Final answer
    x = 1,440.88

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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.