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Finding the Fourth Proportional to 2,809.69, 3,878.28 and 1,761.75

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Solution

The fourth proportional to 2,809.69, 3,878.28 and 1,761.75 is: 2,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.69 : 3,878.28 = 1,761.75 : x
  2. Step 2: Convert to fraction form
    2,809.69/3,878.28 = 1,761.75/x
  3. Step 3: Cross multiply
    2,809.69x = 3,878.28 × 1,761.75
  4. Step 4: Simplify right side
    2,809.69x = 6,832,559.79
  5. Step 5: Solve for x
    x = 6,832,559.79/2,809.69
  6. Step 6: Final answer
    x = 2,431.79

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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.