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Finding the Fourth Proportional to 2,253.71, 3,109.81 and 1,258.86

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Solution

The fourth proportional to 2,253.71, 3,109.81 and 1,258.86 is: 1,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.71 : 3,109.81 = 1,258.86 : x
  2. Step 2: Convert to fraction form
    2,253.71/3,109.81 = 1,258.86/x
  3. Step 3: Cross multiply
    2,253.71x = 3,109.81 × 1,258.86
  4. Step 4: Simplify right side
    2,253.71x = 3,914,809.12
  5. Step 5: Solve for x
    x = 3,914,809.12/2,253.71
  6. Step 6: Final answer
    x = 1,737.05

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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.