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Finding the Fourth Proportional to 2,253.74, 3,110.16 and 1,259

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Solution

The fourth proportional to 2,253.74, 3,110.16 and 1,259 is: 1,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.74 : 3,110.16 = 1,259 : x
  2. Step 2: Convert to fraction form
    2,253.74/3,110.16 = 1,259/x
  3. Step 3: Cross multiply
    2,253.74x = 3,110.16 × 1,259
  4. Step 4: Simplify right side
    2,253.74x = 3,915,691.44
  5. Step 5: Solve for x
    x = 3,915,691.44/2,253.74
  6. Step 6: Final answer
    x = 1,737.42

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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.