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Finding the Fourth Proportional to 2,202.88, 3,040.16 and 1,258.56

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Solution

The fourth proportional to 2,202.88, 3,040.16 and 1,258.56 is: 1,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.88 : 3,040.16 = 1,258.56 : x
  2. Step 2: Convert to fraction form
    2,202.88/3,040.16 = 1,258.56/x
  3. Step 3: Cross multiply
    2,202.88x = 3,040.16 × 1,258.56
  4. Step 4: Simplify right side
    2,202.88x = 3,826,223.77
  5. Step 5: Solve for x
    x = 3,826,223.77/2,202.88
  6. Step 6: Final answer
    x = 1,736.92

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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.