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Finding the Fourth Proportional to 2,599.83, 3,900.35 and 1,778.49

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Solution

The fourth proportional to 2,599.83, 3,900.35 and 1,778.49 is: 2,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.83 : 3,900.35 = 1,778.49 : x
  2. Step 2: Convert to fraction form
    2,599.83/3,900.35 = 1,778.49/x
  3. Step 3: Cross multiply
    2,599.83x = 3,900.35 × 1,778.49
  4. Step 4: Simplify right side
    2,599.83x = 6,936,737.92
  5. Step 5: Solve for x
    x = 6,936,737.92/2,599.83
  6. Step 6: Final answer
    x = 2,668.15

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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.