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Finding the Fourth Proportional to 2,045.19, 3,067.41 and 584.40

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Solution

The fourth proportional to 2,045.19, 3,067.41 and 584.40 is: 876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.19 : 3,067.41 = 584.40 : x
  2. Step 2: Convert to fraction form
    2,045.19/3,067.41 = 584.40/x
  3. Step 3: Cross multiply
    2,045.19x = 3,067.41 × 584.40
  4. Step 4: Simplify right side
    2,045.19x = 1,792,594.40
  5. Step 5: Solve for x
    x = 1,792,594.40/2,045.19
  6. Step 6: Final answer
    x = 876.49

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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.