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Finding the Fourth Proportional to 2,651.78, 3,654.24 and 2,232.20

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Solution

The fourth proportional to 2,651.78, 3,654.24 and 2,232.20 is: 3,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.78 : 3,654.24 = 2,232.20 : x
  2. Step 2: Convert to fraction form
    2,651.78/3,654.24 = 2,232.20/x
  3. Step 3: Cross multiply
    2,651.78x = 3,654.24 × 2,232.20
  4. Step 4: Simplify right side
    2,651.78x = 8,156,994.53
  5. Step 5: Solve for x
    x = 8,156,994.53/2,651.78
  6. Step 6: Final answer
    x = 3,076.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.