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Finding the Fourth Proportional to 4,532.43, 6,797.88 and 1,610.07

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Solution

The fourth proportional to 4,532.43, 6,797.88 and 1,610.07 is: 2,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.43 : 6,797.88 = 1,610.07 : x
  2. Step 2: Convert to fraction form
    4,532.43/6,797.88 = 1,610.07/x
  3. Step 3: Cross multiply
    4,532.43x = 6,797.88 × 1,610.07
  4. Step 4: Simplify right side
    4,532.43x = 10,945,062.65
  5. Step 5: Solve for x
    x = 10,945,062.65/4,532.43
  6. Step 6: Final answer
    x = 2,414.83

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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.