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Finding the Fourth Proportional to 2,643.41, 3,963.29 and 1,161.92

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Solution

The fourth proportional to 2,643.41, 3,963.29 and 1,161.92 is: 1,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.41 : 3,963.29 = 1,161.92 : x
  2. Step 2: Convert to fraction form
    2,643.41/3,963.29 = 1,161.92/x
  3. Step 3: Cross multiply
    2,643.41x = 3,963.29 × 1,161.92
  4. Step 4: Simplify right side
    2,643.41x = 4,605,000.29
  5. Step 5: Solve for x
    x = 4,605,000.29/2,643.41
  6. Step 6: Final answer
    x = 1,742.07

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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.