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Finding the Fourth Proportional to 2,222.71, 3,067.62 and 1,384.25

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Solution

The fourth proportional to 2,222.71, 3,067.62 and 1,384.25 is: 1,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.71 : 3,067.62 = 1,384.25 : x
  2. Step 2: Convert to fraction form
    2,222.71/3,067.62 = 1,384.25/x
  3. Step 3: Cross multiply
    2,222.71x = 3,067.62 × 1,384.25
  4. Step 4: Simplify right side
    2,222.71x = 4,246,360.65
  5. Step 5: Solve for x
    x = 4,246,360.65/2,222.71
  6. Step 6: Final answer
    x = 1,910.45

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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.