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Finding the Fourth Proportional to 3,076.98, 4,617.48 and 1,691.28

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Solution

The fourth proportional to 3,076.98, 4,617.48 and 1,691.28 is: 2,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.98 : 4,617.48 = 1,691.28 : x
  2. Step 2: Convert to fraction form
    3,076.98/4,617.48 = 1,691.28/x
  3. Step 3: Cross multiply
    3,076.98x = 4,617.48 × 1,691.28
  4. Step 4: Simplify right side
    3,076.98x = 7,809,451.57
  5. Step 5: Solve for x
    x = 7,809,451.57/3,076.98
  6. Step 6: Final answer
    x = 2,538.02

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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.