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Finding the Fourth Proportional to 2,258.81, 3,388.13 and 797.93

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Solution

The fourth proportional to 2,258.81, 3,388.13 and 797.93 is: 1,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.81 : 3,388.13 = 797.93 : x
  2. Step 2: Convert to fraction form
    2,258.81/3,388.13 = 797.93/x
  3. Step 3: Cross multiply
    2,258.81x = 3,388.13 × 797.93
  4. Step 4: Simplify right side
    2,258.81x = 2,703,490.57
  5. Step 5: Solve for x
    x = 2,703,490.57/2,258.81
  6. Step 6: Final answer
    x = 1,196.86

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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.