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Finding the Fourth Proportional to 2,202.73, 3,040.00 and 1,258.61

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Solution

The fourth proportional to 2,202.73, 3,040.00 and 1,258.61 is: 1,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.73 : 3,040.00 = 1,258.61 : x
  2. Step 2: Convert to fraction form
    2,202.73/3,040.00 = 1,258.61/x
  3. Step 3: Cross multiply
    2,202.73x = 3,040.00 × 1,258.61
  4. Step 4: Simplify right side
    2,202.73x = 3,826,156.05
  5. Step 5: Solve for x
    x = 3,826,156.05/2,202.73
  6. Step 6: Final answer
    x = 1,737.01

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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.