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Finding the Fourth Proportional to 2,719.44, 3,757.44 and 2,252.88

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Solution

The fourth proportional to 2,719.44, 3,757.44 and 2,252.88 is: 3,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.44 : 3,757.44 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    2,719.44/3,757.44 = 2,252.88/x
  3. Step 3: Cross multiply
    2,719.44x = 3,757.44 × 2,252.88
  4. Step 4: Simplify right side
    2,719.44x = 8,465,061.43
  5. Step 5: Solve for x
    x = 8,465,061.43/2,719.44
  6. Step 6: Final answer
    x = 3,112.80

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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.