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Finding the Fourth Proportional to 2,806.20, 3,873.60 and 1,687.20

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Solution

The fourth proportional to 2,806.20, 3,873.60 and 1,687.20 is: 2,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.20 : 3,873.60 = 1,687.20 : x
  2. Step 2: Convert to fraction form
    2,806.20/3,873.60 = 1,687.20/x
  3. Step 3: Cross multiply
    2,806.20x = 3,873.60 × 1,687.20
  4. Step 4: Simplify right side
    2,806.20x = 6,535,537.92
  5. Step 5: Solve for x
    x = 6,535,537.92/2,806.20
  6. Step 6: Final answer
    x = 2,328.96

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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.