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Finding the Fourth Proportional to 2,627.99, 3,942.20 and 872.93

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Solution

The fourth proportional to 2,627.99, 3,942.20 and 872.93 is: 1,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.99 : 3,942.20 = 872.93 : x
  2. Step 2: Convert to fraction form
    2,627.99/3,942.20 = 872.93/x
  3. Step 3: Cross multiply
    2,627.99x = 3,942.20 × 872.93
  4. Step 4: Simplify right side
    2,627.99x = 3,441,264.65
  5. Step 5: Solve for x
    x = 3,441,264.65/2,627.99
  6. Step 6: Final answer
    x = 1,309.47

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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.