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Finding the Fourth Proportional to 2,455.80, 3,392.84 and 2,258.97

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Solution

The fourth proportional to 2,455.80, 3,392.84 and 2,258.97 is: 3,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.80 : 3,392.84 = 2,258.97 : x
  2. Step 2: Convert to fraction form
    2,455.80/3,392.84 = 2,258.97/x
  3. Step 3: Cross multiply
    2,455.80x = 3,392.84 × 2,258.97
  4. Step 4: Simplify right side
    2,455.80x = 7,664,312.48
  5. Step 5: Solve for x
    x = 7,664,312.48/2,455.80
  6. Step 6: Final answer
    x = 3,120.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.