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Finding the Fourth Proportional to 2,644.48, 3,963.86 and 1,181.62

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Solution

The fourth proportional to 2,644.48, 3,963.86 and 1,181.62 is: 1,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.48 : 3,963.86 = 1,181.62 : x
  2. Step 2: Convert to fraction form
    2,644.48/3,963.86 = 1,181.62/x
  3. Step 3: Cross multiply
    2,644.48x = 3,963.86 × 1,181.62
  4. Step 4: Simplify right side
    2,644.48x = 4,683,776.25
  5. Step 5: Solve for x
    x = 4,683,776.25/2,644.48
  6. Step 6: Final answer
    x = 1,771.15

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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.