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Finding the Fourth Proportional to 2,044.89, 3,067.35 and 505.89

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Solution

The fourth proportional to 2,044.89, 3,067.35 and 505.89 is: 758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.89 : 3,067.35 = 505.89 : x
  2. Step 2: Convert to fraction form
    2,044.89/3,067.35 = 505.89/x
  3. Step 3: Cross multiply
    2,044.89x = 3,067.35 × 505.89
  4. Step 4: Simplify right side
    2,044.89x = 1,551,741.69
  5. Step 5: Solve for x
    x = 1,551,741.69/2,044.89
  6. Step 6: Final answer
    x = 758.84

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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.