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Finding the Fourth Proportional to 2,258.73, 3,388.05 and 797.85

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Solution

The fourth proportional to 2,258.73, 3,388.05 and 797.85 is: 1,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.73 : 3,388.05 = 797.85 : x
  2. Step 2: Convert to fraction form
    2,258.73/3,388.05 = 797.85/x
  3. Step 3: Cross multiply
    2,258.73x = 3,388.05 × 797.85
  4. Step 4: Simplify right side
    2,258.73x = 2,703,155.69
  5. Step 5: Solve for x
    x = 2,703,155.69/2,258.73
  6. Step 6: Final answer
    x = 1,196.76

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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.