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Finding the Fourth Proportional to 2,045.41, 3,067.57 and 584.64

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Solution

The fourth proportional to 2,045.41, 3,067.57 and 584.64 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.41 : 3,067.57 = 584.64 : x
  2. Step 2: Convert to fraction form
    2,045.41/3,067.57 = 584.64/x
  3. Step 3: Cross multiply
    2,045.41x = 3,067.57 × 584.64
  4. Step 4: Simplify right side
    2,045.41x = 1,793,424.12
  5. Step 5: Solve for x
    x = 1,793,424.12/2,045.41
  6. Step 6: Final answer
    x = 876.80

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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.