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Finding the Fourth Proportional to 2,257.68, 3,377.40 and 1,952.92

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Solution

The fourth proportional to 2,257.68, 3,377.40 and 1,952.92 is: 2,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.68 : 3,377.40 = 1,952.92 : x
  2. Step 2: Convert to fraction form
    2,257.68/3,377.40 = 1,952.92/x
  3. Step 3: Cross multiply
    2,257.68x = 3,377.40 × 1,952.92
  4. Step 4: Simplify right side
    2,257.68x = 6,595,792.01
  5. Step 5: Solve for x
    x = 6,595,792.01/2,257.68
  6. Step 6: Final answer
    x = 2,921.49

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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.