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Finding the Fourth Proportional to 2,643.42, 3,963.27 and 1,161.93

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Solution

The fourth proportional to 2,643.42, 3,963.27 and 1,161.93 is: 1,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.42 : 3,963.27 = 1,161.93 : x
  2. Step 2: Convert to fraction form
    2,643.42/3,963.27 = 1,161.93/x
  3. Step 3: Cross multiply
    2,643.42x = 3,963.27 × 1,161.93
  4. Step 4: Simplify right side
    2,643.42x = 4,605,042.31
  5. Step 5: Solve for x
    x = 4,605,042.31/2,643.42
  6. Step 6: Final answer
    x = 1,742.08

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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.