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Finding the Fourth Proportional to 2,045.25, 3,067.56 and 584.46

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Solution

The fourth proportional to 2,045.25, 3,067.56 and 584.46 is: 876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.25 : 3,067.56 = 584.46 : x
  2. Step 2: Convert to fraction form
    2,045.25/3,067.56 = 584.46/x
  3. Step 3: Cross multiply
    2,045.25x = 3,067.56 × 584.46
  4. Step 4: Simplify right side
    2,045.25x = 1,792,866.12
  5. Step 5: Solve for x
    x = 1,792,866.12/2,045.25
  6. Step 6: Final answer
    x = 876.60

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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.