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Finding the Fourth Proportional to 3,102.58, 4,654.77 and 1,641.54

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Solution

The fourth proportional to 3,102.58, 4,654.77 and 1,641.54 is: 2,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.58 : 4,654.77 = 1,641.54 : x
  2. Step 2: Convert to fraction form
    3,102.58/4,654.77 = 1,641.54/x
  3. Step 3: Cross multiply
    3,102.58x = 4,654.77 × 1,641.54
  4. Step 4: Simplify right side
    3,102.58x = 7,640,991.15
  5. Step 5: Solve for x
    x = 7,640,991.15/3,102.58
  6. Step 6: Final answer
    x = 2,462.79

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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.