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Finding the Fourth Proportional to 2,642.49, 3,959.48 and 1,720.31

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Solution

The fourth proportional to 2,642.49, 3,959.48 and 1,720.31 is: 2,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.49 : 3,959.48 = 1,720.31 : x
  2. Step 2: Convert to fraction form
    2,642.49/3,959.48 = 1,720.31/x
  3. Step 3: Cross multiply
    2,642.49x = 3,959.48 × 1,720.31
  4. Step 4: Simplify right side
    2,642.49x = 6,811,517.54
  5. Step 5: Solve for x
    x = 6,811,517.54/2,642.49
  6. Step 6: Final answer
    x = 2,577.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.