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Finding the Fourth Proportional to 3,142.62, 4,334.58 and 1,963.26

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Solution

The fourth proportional to 3,142.62, 4,334.58 and 1,963.26 is: 2,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.62 : 4,334.58 = 1,963.26 : x
  2. Step 2: Convert to fraction form
    3,142.62/4,334.58 = 1,963.26/x
  3. Step 3: Cross multiply
    3,142.62x = 4,334.58 × 1,963.26
  4. Step 4: Simplify right side
    3,142.62x = 8,509,907.53
  5. Step 5: Solve for x
    x = 8,509,907.53/3,142.62
  6. Step 6: Final answer
    x = 2,707.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.