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Finding the Fourth Proportional to 3,141.59, 4,335.42 and 1,963.35

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Solution

The fourth proportional to 3,141.59, 4,335.42 and 1,963.35 is: 2,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.59 : 4,335.42 = 1,963.35 : x
  2. Step 2: Convert to fraction form
    3,141.59/4,335.42 = 1,963.35/x
  3. Step 3: Cross multiply
    3,141.59x = 4,335.42 × 1,963.35
  4. Step 4: Simplify right side
    3,141.59x = 8,511,946.86
  5. Step 5: Solve for x
    x = 8,511,946.86/3,141.59
  6. Step 6: Final answer
    x = 2,709.44

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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.