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Finding the Fourth Proportional to 3,097.18, 4,645.75 and 757.20

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Solution

The fourth proportional to 3,097.18, 4,645.75 and 757.20 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.18 : 4,645.75 = 757.20 : x
  2. Step 2: Convert to fraction form
    3,097.18/4,645.75 = 757.20/x
  3. Step 3: Cross multiply
    3,097.18x = 4,645.75 × 757.20
  4. Step 4: Simplify right side
    3,097.18x = 3,517,761.90
  5. Step 5: Solve for x
    x = 3,517,761.90/3,097.18
  6. Step 6: Final answer
    x = 1,135.80

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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.