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Finding the Fourth Proportional to 3,107.85, 4,661.78 and 1,160.25

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Solution

The fourth proportional to 3,107.85, 4,661.78 and 1,160.25 is: 1,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.85 : 4,661.78 = 1,160.25 : x
  2. Step 2: Convert to fraction form
    3,107.85/4,661.78 = 1,160.25/x
  3. Step 3: Cross multiply
    3,107.85x = 4,661.78 × 1,160.25
  4. Step 4: Simplify right side
    3,107.85x = 5,408,824.44
  5. Step 5: Solve for x
    x = 5,408,824.44/3,107.85
  6. Step 6: Final answer
    x = 1,740.38

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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.