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Finding the Fourth Proportional to 2,380.72, 3,284.47 and 1,436.60

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Solution

The fourth proportional to 2,380.72, 3,284.47 and 1,436.60 is: 1,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.72 : 3,284.47 = 1,436.60 : x
  2. Step 2: Convert to fraction form
    2,380.72/3,284.47 = 1,436.60/x
  3. Step 3: Cross multiply
    2,380.72x = 3,284.47 × 1,436.60
  4. Step 4: Simplify right side
    2,380.72x = 4,718,469.60
  5. Step 5: Solve for x
    x = 4,718,469.60/2,380.72
  6. Step 6: Final answer
    x = 1,981.95

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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.