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Finding the Fourth Proportional to 2,778.60, 3,834.87 and 1,599.48

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Solution

The fourth proportional to 2,778.60, 3,834.87 and 1,599.48 is: 2,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.60 : 3,834.87 = 1,599.48 : x
  2. Step 2: Convert to fraction form
    2,778.60/3,834.87 = 1,599.48/x
  3. Step 3: Cross multiply
    2,778.60x = 3,834.87 × 1,599.48
  4. Step 4: Simplify right side
    2,778.60x = 6,133,797.87
  5. Step 5: Solve for x
    x = 6,133,797.87/2,778.60
  6. Step 6: Final answer
    x = 2,207.51

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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.