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Finding the Fourth Proportional to 1,806.87, 2,494.71 and 1,682.85

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Solution

The fourth proportional to 1,806.87, 2,494.71 and 1,682.85 is: 2,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.87 : 2,494.71 = 1,682.85 : x
  2. Step 2: Convert to fraction form
    1,806.87/2,494.71 = 1,682.85/x
  3. Step 3: Cross multiply
    1,806.87x = 2,494.71 × 1,682.85
  4. Step 4: Simplify right side
    1,806.87x = 4,198,222.72
  5. Step 5: Solve for x
    x = 4,198,222.72/1,806.87
  6. Step 6: Final answer
    x = 2,323.48

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