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Finding the Fourth Proportional to 2,806.65, 3,872.52 and 1,687.41

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Solution

The fourth proportional to 2,806.65, 3,872.52 and 1,687.41 is: 2,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.65 : 3,872.52 = 1,687.41 : x
  2. Step 2: Convert to fraction form
    2,806.65/3,872.52 = 1,687.41/x
  3. Step 3: Cross multiply
    2,806.65x = 3,872.52 × 1,687.41
  4. Step 4: Simplify right side
    2,806.65x = 6,534,528.97
  5. Step 5: Solve for x
    x = 6,534,528.97/2,806.65
  6. Step 6: Final answer
    x = 2,328.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.