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Finding the Fourth Proportional to 2,820.67, 4,231.16 and 872.72

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Solution

The fourth proportional to 2,820.67, 4,231.16 and 872.72 is: 1,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.67 : 4,231.16 = 872.72 : x
  2. Step 2: Convert to fraction form
    2,820.67/4,231.16 = 872.72/x
  3. Step 3: Cross multiply
    2,820.67x = 4,231.16 × 872.72
  4. Step 4: Simplify right side
    2,820.67x = 3,692,611.58
  5. Step 5: Solve for x
    x = 3,692,611.58/2,820.67
  6. Step 6: Final answer
    x = 1,309.13

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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.