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Finding the Fourth Proportional to 3,300.30, 4,949.71 and 960.28

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Solution

The fourth proportional to 3,300.30, 4,949.71 and 960.28 is: 1,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.30 : 4,949.71 = 960.28 : x
  2. Step 2: Convert to fraction form
    3,300.30/4,949.71 = 960.28/x
  3. Step 3: Cross multiply
    3,300.30x = 4,949.71 × 960.28
  4. Step 4: Simplify right side
    3,300.30x = 4,753,092.74
  5. Step 5: Solve for x
    x = 4,753,092.74/3,300.30
  6. Step 6: Final answer
    x = 1,440.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.