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Finding the Fourth Proportional to 2,253.43, 3,109.74 and 1,258.71

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Solution

The fourth proportional to 2,253.43, 3,109.74 and 1,258.71 is: 1,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.43 : 3,109.74 = 1,258.71 : x
  2. Step 2: Convert to fraction form
    2,253.43/3,109.74 = 1,258.71/x
  3. Step 3: Cross multiply
    2,253.43x = 3,109.74 × 1,258.71
  4. Step 4: Simplify right side
    2,253.43x = 3,914,260.84
  5. Step 5: Solve for x
    x = 3,914,260.84/2,253.43
  6. Step 6: Final answer
    x = 1,737.02

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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.