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Finding the Fourth Proportional to 2,175.20, 3,247 and 2,015

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Solution

The fourth proportional to 2,175.20, 3,247 and 2,015 is: 3,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.20 : 3,247 = 2,015 : x
  2. Step 2: Convert to fraction form
    2,175.20/3,247 = 2,015/x
  3. Step 3: Cross multiply
    2,175.20x = 3,247 × 2,015
  4. Step 4: Simplify right side
    2,175.20x = 6,542,705
  5. Step 5: Solve for x
    x = 6,542,705/2,175.20
  6. Step 6: Final answer
    x = 3,007.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.