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Finding the Fourth Proportional to 3,153.06, 4,728.90 and 961.20

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Solution

The fourth proportional to 3,153.06, 4,728.90 and 961.20 is: 1,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.06 : 4,728.90 = 961.20 : x
  2. Step 2: Convert to fraction form
    3,153.06/4,728.90 = 961.20/x
  3. Step 3: Cross multiply
    3,153.06x = 4,728.90 × 961.20
  4. Step 4: Simplify right side
    3,153.06x = 4,545,418.68
  5. Step 5: Solve for x
    x = 4,545,418.68/3,153.06
  6. Step 6: Final answer
    x = 1,441.59

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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.