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Finding the Fourth Proportional to 2,258.15, 3,388.29 and 797.99

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Solution

The fourth proportional to 2,258.15, 3,388.29 and 797.99 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.15 : 3,388.29 = 797.99 : x
  2. Step 2: Convert to fraction form
    2,258.15/3,388.29 = 797.99/x
  3. Step 3: Cross multiply
    2,258.15x = 3,388.29 × 797.99
  4. Step 4: Simplify right side
    2,258.15x = 2,703,821.54
  5. Step 5: Solve for x
    x = 2,703,821.54/2,258.15
  6. Step 6: Final answer
    x = 1,197.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.