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Finding the Fourth Proportional to 2,257.68, 3,340.40 and 2,251.20

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Solution

The fourth proportional to 2,257.68, 3,340.40 and 2,251.20 is: 3,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.68 : 3,340.40 = 2,251.20 : x
  2. Step 2: Convert to fraction form
    2,257.68/3,340.40 = 2,251.20/x
  3. Step 3: Cross multiply
    2,257.68x = 3,340.40 × 2,251.20
  4. Step 4: Simplify right side
    2,257.68x = 7,519,908.48
  5. Step 5: Solve for x
    x = 7,519,908.48/2,257.68
  6. Step 6: Final answer
    x = 3,330.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.