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Finding the Fourth Proportional to 2,274.08, 3,138.19 and 1,265.78

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Solution

The fourth proportional to 2,274.08, 3,138.19 and 1,265.78 is: 1,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.08 : 3,138.19 = 1,265.78 : x
  2. Step 2: Convert to fraction form
    2,274.08/3,138.19 = 1,265.78/x
  3. Step 3: Cross multiply
    2,274.08x = 3,138.19 × 1,265.78
  4. Step 4: Simplify right side
    2,274.08x = 3,972,258.14
  5. Step 5: Solve for x
    x = 3,972,258.14/2,274.08
  6. Step 6: Final answer
    x = 1,746.75

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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.