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Finding the Fourth Proportional to 2,253.73, 3,110.24 and 1,259

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Solution

The fourth proportional to 2,253.73, 3,110.24 and 1,259 is: 1,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.73 : 3,110.24 = 1,259 : x
  2. Step 2: Convert to fraction form
    2,253.73/3,110.24 = 1,259/x
  3. Step 3: Cross multiply
    2,253.73x = 3,110.24 × 1,259
  4. Step 4: Simplify right side
    2,253.73x = 3,915,785.87
  5. Step 5: Solve for x
    x = 3,915,785.87/2,253.73
  6. Step 6: Final answer
    x = 1,737.47

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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.