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Finding the Fourth Proportional to 2,774.85, 4,163.89 and 1,044.69

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Solution

The fourth proportional to 2,774.85, 4,163.89 and 1,044.69 is: 1,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.85 : 4,163.89 = 1,044.69 : x
  2. Step 2: Convert to fraction form
    2,774.85/4,163.89 = 1,044.69/x
  3. Step 3: Cross multiply
    2,774.85x = 4,163.89 × 1,044.69
  4. Step 4: Simplify right side
    2,774.85x = 4,349,974.24
  5. Step 5: Solve for x
    x = 4,349,974.24/2,774.85
  6. Step 6: Final answer
    x = 1,567.64

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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.