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Finding the Fourth Proportional to 2,680.44, 3,699.22 and 1,561.31

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Solution

The fourth proportional to 2,680.44, 3,699.22 and 1,561.31 is: 2,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.44 : 3,699.22 = 1,561.31 : x
  2. Step 2: Convert to fraction form
    2,680.44/3,699.22 = 1,561.31/x
  3. Step 3: Cross multiply
    2,680.44x = 3,699.22 × 1,561.31
  4. Step 4: Simplify right side
    2,680.44x = 5,775,610.68
  5. Step 5: Solve for x
    x = 5,775,610.68/2,680.44
  6. Step 6: Final answer
    x = 2,154.73

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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.