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Finding the Fourth Proportional to 2,045.66, 3,067.94 and 584.89

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Solution

The fourth proportional to 2,045.66, 3,067.94 and 584.89 is: 877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.66 : 3,067.94 = 584.89 : x
  2. Step 2: Convert to fraction form
    2,045.66/3,067.94 = 584.89/x
  3. Step 3: Cross multiply
    2,045.66x = 3,067.94 × 584.89
  4. Step 4: Simplify right side
    2,045.66x = 1,794,401.22
  5. Step 5: Solve for x
    x = 1,794,401.22/2,045.66
  6. Step 6: Final answer
    x = 877.18

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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.