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Finding the Fourth Proportional to 2,202.68, 3,039.72 and 1,258.53

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Solution

The fourth proportional to 2,202.68, 3,039.72 and 1,258.53 is: 1,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.68 : 3,039.72 = 1,258.53 : x
  2. Step 2: Convert to fraction form
    2,202.68/3,039.72 = 1,258.53/x
  3. Step 3: Cross multiply
    2,202.68x = 3,039.72 × 1,258.53
  4. Step 4: Simplify right side
    2,202.68x = 3,825,578.81
  5. Step 5: Solve for x
    x = 3,825,578.81/2,202.68
  6. Step 6: Final answer
    x = 1,736.78

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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.