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Finding the Fourth Proportional to 2,756.26, 3,799.60 and 2,258.11

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Solution

The fourth proportional to 2,756.26, 3,799.60 and 2,258.11 is: 3,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.26 : 3,799.60 = 2,258.11 : x
  2. Step 2: Convert to fraction form
    2,756.26/3,799.60 = 2,258.11/x
  3. Step 3: Cross multiply
    2,756.26x = 3,799.60 × 2,258.11
  4. Step 4: Simplify right side
    2,756.26x = 8,579,914.76
  5. Step 5: Solve for x
    x = 8,579,914.76/2,756.26
  6. Step 6: Final answer
    x = 3,112.88

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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.