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Finding the Fourth Proportional to 2,067.22, 2,854.02 and 1,438.84

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Solution

The fourth proportional to 2,067.22, 2,854.02 and 1,438.84 is: 1,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.22 : 2,854.02 = 1,438.84 : x
  2. Step 2: Convert to fraction form
    2,067.22/2,854.02 = 1,438.84/x
  3. Step 3: Cross multiply
    2,067.22x = 2,854.02 × 1,438.84
  4. Step 4: Simplify right side
    2,067.22x = 4,106,478.14
  5. Step 5: Solve for x
    x = 4,106,478.14/2,067.22
  6. Step 6: Final answer
    x = 1,986.47

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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.