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Finding the Fourth Proportional to 2,719.91, 3,757.02 and 2,249.71

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Solution

The fourth proportional to 2,719.91, 3,757.02 and 2,249.71 is: 3,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.91 : 3,757.02 = 2,249.71 : x
  2. Step 2: Convert to fraction form
    2,719.91/3,757.02 = 2,249.71/x
  3. Step 3: Cross multiply
    2,719.91x = 3,757.02 × 2,249.71
  4. Step 4: Simplify right side
    2,719.91x = 8,452,187.64
  5. Step 5: Solve for x
    x = 8,452,187.64/2,719.91
  6. Step 6: Final answer
    x = 3,107.52

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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.