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Finding the Fourth Proportional to 2,902.62, 4,356.56 and 1,963.30

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Solution

The fourth proportional to 2,902.62, 4,356.56 and 1,963.30 is: 2,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.62 : 4,356.56 = 1,963.30 : x
  2. Step 2: Convert to fraction form
    2,902.62/4,356.56 = 1,963.30/x
  3. Step 3: Cross multiply
    2,902.62x = 4,356.56 × 1,963.30
  4. Step 4: Simplify right side
    2,902.62x = 8,553,213.54
  5. Step 5: Solve for x
    x = 8,553,213.54/2,902.62
  6. Step 6: Final answer
    x = 2,946.72

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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.