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Finding the Fourth Proportional to 2,778.87, 4,166.19 and 1,682.94

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Solution

The fourth proportional to 2,778.87, 4,166.19 and 1,682.94 is: 2,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.87 : 4,166.19 = 1,682.94 : x
  2. Step 2: Convert to fraction form
    2,778.87/4,166.19 = 1,682.94/x
  3. Step 3: Cross multiply
    2,778.87x = 4,166.19 × 1,682.94
  4. Step 4: Simplify right side
    2,778.87x = 7,011,447.80
  5. Step 5: Solve for x
    x = 7,011,447.80/2,778.87
  6. Step 6: Final answer
    x = 2,523.13

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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.