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Finding the Fourth Proportional to 3,115.75, 4,671.99 and 1,166.35

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Solution

The fourth proportional to 3,115.75, 4,671.99 and 1,166.35 is: 1,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.75 : 4,671.99 = 1,166.35 : x
  2. Step 2: Convert to fraction form
    3,115.75/4,671.99 = 1,166.35/x
  3. Step 3: Cross multiply
    3,115.75x = 4,671.99 × 1,166.35
  4. Step 4: Simplify right side
    3,115.75x = 5,449,175.54
  5. Step 5: Solve for x
    x = 5,449,175.54/3,115.75
  6. Step 6: Final answer
    x = 1,748.91

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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.