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Finding the Fourth Proportional to 2,642.60, 3,963.90 and 2,181.80

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Solution

The fourth proportional to 2,642.60, 3,963.90 and 2,181.80 is: 3,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.60 : 3,963.90 = 2,181.80 : x
  2. Step 2: Convert to fraction form
    2,642.60/3,963.90 = 2,181.80/x
  3. Step 3: Cross multiply
    2,642.60x = 3,963.90 × 2,181.80
  4. Step 4: Simplify right side
    2,642.60x = 8,648,437.02
  5. Step 5: Solve for x
    x = 8,648,437.02/2,642.60
  6. Step 6: Final answer
    x = 3,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.