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Finding the Fourth Proportional to 2,756.76, 3,799.89 and 2,258.52

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Solution

The fourth proportional to 2,756.76, 3,799.89 and 2,258.52 is: 3,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.76 : 3,799.89 = 2,258.52 : x
  2. Step 2: Convert to fraction form
    2,756.76/3,799.89 = 2,258.52/x
  3. Step 3: Cross multiply
    2,756.76x = 3,799.89 × 2,258.52
  4. Step 4: Simplify right side
    2,756.76x = 8,582,127.56
  5. Step 5: Solve for x
    x = 8,582,127.56/2,756.76
  6. Step 6: Final answer
    x = 3,113.12

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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.