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Finding the Fourth Proportional to 2,067.84, 3,103.68 and 1,582.08

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Solution

The fourth proportional to 2,067.84, 3,103.68 and 1,582.08 is: 2,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.84 : 3,103.68 = 1,582.08 : x
  2. Step 2: Convert to fraction form
    2,067.84/3,103.68 = 1,582.08/x
  3. Step 3: Cross multiply
    2,067.84x = 3,103.68 × 1,582.08
  4. Step 4: Simplify right side
    2,067.84x = 4,910,270.05
  5. Step 5: Solve for x
    x = 4,910,270.05/2,067.84
  6. Step 6: Final answer
    x = 2,374.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.