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Finding the Fourth Proportional to 2,045.52, 3,067.96 and 584.34

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Solution

The fourth proportional to 2,045.52, 3,067.96 and 584.34 is: 876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.52 : 3,067.96 = 584.34 : x
  2. Step 2: Convert to fraction form
    2,045.52/3,067.96 = 584.34/x
  3. Step 3: Cross multiply
    2,045.52x = 3,067.96 × 584.34
  4. Step 4: Simplify right side
    2,045.52x = 1,792,731.75
  5. Step 5: Solve for x
    x = 1,792,731.75/2,045.52
  6. Step 6: Final answer
    x = 876.42

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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.