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Finding the Fourth Proportional to 2,586.65, 3,882.55 and 1,200.30

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Solution

The fourth proportional to 2,586.65, 3,882.55 and 1,200.30 is: 1,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.65 : 3,882.55 = 1,200.30 : x
  2. Step 2: Convert to fraction form
    2,586.65/3,882.55 = 1,200.30/x
  3. Step 3: Cross multiply
    2,586.65x = 3,882.55 × 1,200.30
  4. Step 4: Simplify right side
    2,586.65x = 4,660,231.29
  5. Step 5: Solve for x
    x = 4,660,231.29/2,586.65
  6. Step 6: Final answer
    x = 1,801.65

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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.