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Finding the Fourth Proportional to 2,067.59, 3,084.60 and 1,898.24

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Solution

The fourth proportional to 2,067.59, 3,084.60 and 1,898.24 is: 2,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.59 : 3,084.60 = 1,898.24 : x
  2. Step 2: Convert to fraction form
    2,067.59/3,084.60 = 1,898.24/x
  3. Step 3: Cross multiply
    2,067.59x = 3,084.60 × 1,898.24
  4. Step 4: Simplify right side
    2,067.59x = 5,855,295.68
  5. Step 5: Solve for x
    x = 5,855,295.68/2,067.59
  6. Step 6: Final answer
    x = 2,831.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.