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Finding the Fourth Proportional to 2,067.98, 2,854.97 and 1,588.55

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Solution

The fourth proportional to 2,067.98, 2,854.97 and 1,588.55 is: 2,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.98 : 2,854.97 = 1,588.55 : x
  2. Step 2: Convert to fraction form
    2,067.98/2,854.97 = 1,588.55/x
  3. Step 3: Cross multiply
    2,067.98x = 2,854.97 × 1,588.55
  4. Step 4: Simplify right side
    2,067.98x = 4,535,246.33
  5. Step 5: Solve for x
    x = 4,535,246.33/2,067.98
  6. Step 6: Final answer
    x = 2,193.09

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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.