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Finding the Fourth Proportional to 2,963.52, 4,448.16 and 2,147.04

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Solution

The fourth proportional to 2,963.52, 4,448.16 and 2,147.04 is: 3,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.52 : 4,448.16 = 2,147.04 : x
  2. Step 2: Convert to fraction form
    2,963.52/4,448.16 = 2,147.04/x
  3. Step 3: Cross multiply
    2,963.52x = 4,448.16 × 2,147.04
  4. Step 4: Simplify right side
    2,963.52x = 9,550,377.45
  5. Step 5: Solve for x
    x = 9,550,377.45/2,963.52
  6. Step 6: Final answer
    x = 3,222.65

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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.