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Finding the Fourth Proportional to 2,641.93, 3,963.42 and 1,181.07

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Solution

The fourth proportional to 2,641.93, 3,963.42 and 1,181.07 is: 1,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.93 : 3,963.42 = 1,181.07 : x
  2. Step 2: Convert to fraction form
    2,641.93/3,963.42 = 1,181.07/x
  3. Step 3: Cross multiply
    2,641.93x = 3,963.42 × 1,181.07
  4. Step 4: Simplify right side
    2,641.93x = 4,681,076.46
  5. Step 5: Solve for x
    x = 4,681,076.46/2,641.93
  6. Step 6: Final answer
    x = 1,771.84

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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.