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Finding the Fourth Proportional to 2,147.65, 3,220.80 and 1,324.69

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Solution

The fourth proportional to 2,147.65, 3,220.80 and 1,324.69 is: 1,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.65 : 3,220.80 = 1,324.69 : x
  2. Step 2: Convert to fraction form
    2,147.65/3,220.80 = 1,324.69/x
  3. Step 3: Cross multiply
    2,147.65x = 3,220.80 × 1,324.69
  4. Step 4: Simplify right side
    2,147.65x = 4,266,561.55
  5. Step 5: Solve for x
    x = 4,266,561.55/2,147.65
  6. Step 6: Final answer
    x = 1,986.62

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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.