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Finding the Fourth Proportional to 2,384.62, 3,578.52 and 1,086.10

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Solution

The fourth proportional to 2,384.62, 3,578.52 and 1,086.10 is: 1,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.62 : 3,578.52 = 1,086.10 : x
  2. Step 2: Convert to fraction form
    2,384.62/3,578.52 = 1,086.10/x
  3. Step 3: Cross multiply
    2,384.62x = 3,578.52 × 1,086.10
  4. Step 4: Simplify right side
    2,384.62x = 3,886,630.57
  5. Step 5: Solve for x
    x = 3,886,630.57/2,384.62
  6. Step 6: Final answer
    x = 1,629.87

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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.