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Finding the Fourth Proportional to 3,151.74, 4,728.31 and 960.63

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Solution

The fourth proportional to 3,151.74, 4,728.31 and 960.63 is: 1,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.74 : 4,728.31 = 960.63 : x
  2. Step 2: Convert to fraction form
    3,151.74/4,728.31 = 960.63/x
  3. Step 3: Cross multiply
    3,151.74x = 4,728.31 × 960.63
  4. Step 4: Simplify right side
    3,151.74x = 4,542,174.17
  5. Step 5: Solve for x
    x = 4,542,174.17/3,151.74
  6. Step 6: Final answer
    x = 1,441.17

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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.