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Finding the Fourth Proportional to 2,778.74, 3,834.25 and 2,106.92

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Solution

The fourth proportional to 2,778.74, 3,834.25 and 2,106.92 is: 2,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.74 : 3,834.25 = 2,106.92 : x
  2. Step 2: Convert to fraction form
    2,778.74/3,834.25 = 2,106.92/x
  3. Step 3: Cross multiply
    2,778.74x = 3,834.25 × 2,106.92
  4. Step 4: Simplify right side
    2,778.74x = 8,078,458.01
  5. Step 5: Solve for x
    x = 8,078,458.01/2,778.74
  6. Step 6: Final answer
    x = 2,907.24

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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.