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Finding the Fourth Proportional to 2,099.88, 3,149.52 and 713.22

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Solution

The fourth proportional to 2,099.88, 3,149.52 and 713.22 is: 1,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.88 : 3,149.52 = 713.22 : x
  2. Step 2: Convert to fraction form
    2,099.88/3,149.52 = 713.22/x
  3. Step 3: Cross multiply
    2,099.88x = 3,149.52 × 713.22
  4. Step 4: Simplify right side
    2,099.88x = 2,246,300.65
  5. Step 5: Solve for x
    x = 2,246,300.65/2,099.88
  6. Step 6: Final answer
    x = 1,069.73

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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.