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Finding the Fourth Proportional to 3,115.44, 4,671.78 and 1,654.26

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Solution

The fourth proportional to 3,115.44, 4,671.78 and 1,654.26 is: 2,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.44 : 4,671.78 = 1,654.26 : x
  2. Step 2: Convert to fraction form
    3,115.44/4,671.78 = 1,654.26/x
  3. Step 3: Cross multiply
    3,115.44x = 4,671.78 × 1,654.26
  4. Step 4: Simplify right side
    3,115.44x = 7,728,338.78
  5. Step 5: Solve for x
    x = 7,728,338.78/3,115.44
  6. Step 6: Final answer
    x = 2,480.66

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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.