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Finding the Fourth Proportional to 2,271.72, 3,404.82 and 1,175.50

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Solution

The fourth proportional to 2,271.72, 3,404.82 and 1,175.50 is: 1,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.72 : 3,404.82 = 1,175.50 : x
  2. Step 2: Convert to fraction form
    2,271.72/3,404.82 = 1,175.50/x
  3. Step 3: Cross multiply
    2,271.72x = 3,404.82 × 1,175.50
  4. Step 4: Simplify right side
    2,271.72x = 4,002,365.91
  5. Step 5: Solve for x
    x = 4,002,365.91/2,271.72
  6. Step 6: Final answer
    x = 1,761.82

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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.