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Finding the Fourth Proportional to 2,765.28, 3,800.38 and 2,488.48

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Solution

The fourth proportional to 2,765.28, 3,800.38 and 2,488.48 is: 3,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.28 : 3,800.38 = 2,488.48 : x
  2. Step 2: Convert to fraction form
    2,765.28/3,800.38 = 2,488.48/x
  3. Step 3: Cross multiply
    2,765.28x = 3,800.38 × 2,488.48
  4. Step 4: Simplify right side
    2,765.28x = 9,457,169.62
  5. Step 5: Solve for x
    x = 9,457,169.62/2,765.28
  6. Step 6: Final answer
    x = 3,419.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.