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Finding the Fourth Proportional to 2,045.89, 3,067.93 and 584.71

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Solution

The fourth proportional to 2,045.89, 3,067.93 and 584.71 is: 876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.89 : 3,067.93 = 584.71 : x
  2. Step 2: Convert to fraction form
    2,045.89/3,067.93 = 584.71/x
  3. Step 3: Cross multiply
    2,045.89x = 3,067.93 × 584.71
  4. Step 4: Simplify right side
    2,045.89x = 1,793,849.35
  5. Step 5: Solve for x
    x = 1,793,849.35/2,045.89
  6. Step 6: Final answer
    x = 876.81

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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.