Home / 2,045.14-3,067.78-584.30

Finding the Fourth Proportional to 2,045.14, 3,067.78 and 584.30

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Solution

The fourth proportional to 2,045.14, 3,067.78 and 584.30 is: 876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.14 : 3,067.78 = 584.30 : x
  2. Step 2: Convert to fraction form
    2,045.14/3,067.78 = 584.30/x
  3. Step 3: Cross multiply
    2,045.14x = 3,067.78 × 584.30
  4. Step 4: Simplify right side
    2,045.14x = 1,792,503.85
  5. Step 5: Solve for x
    x = 1,792,503.85/2,045.14
  6. Step 6: Final answer
    x = 876.47

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Why These Related Problems?

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