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Finding the Fourth Proportional to 2,305.96, 3,458.94 and 1,761.24

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Solution

The fourth proportional to 2,305.96, 3,458.94 and 1,761.24 is: 2,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.96 : 3,458.94 = 1,761.24 : x
  2. Step 2: Convert to fraction form
    2,305.96/3,458.94 = 1,761.24/x
  3. Step 3: Cross multiply
    2,305.96x = 3,458.94 × 1,761.24
  4. Step 4: Simplify right side
    2,305.96x = 6,092,023.49
  5. Step 5: Solve for x
    x = 6,092,023.49/2,305.96
  6. Step 6: Final answer
    x = 2,641.86

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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.