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Finding the Fourth Proportional to 3,190.74, 4,404.08 and 2,071.61

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Solution

The fourth proportional to 3,190.74, 4,404.08 and 2,071.61 is: 2,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.74 : 4,404.08 = 2,071.61 : x
  2. Step 2: Convert to fraction form
    3,190.74/4,404.08 = 2,071.61/x
  3. Step 3: Cross multiply
    3,190.74x = 4,404.08 × 2,071.61
  4. Step 4: Simplify right side
    3,190.74x = 9,123,536.17
  5. Step 5: Solve for x
    x = 9,123,536.17/3,190.74
  6. Step 6: Final answer
    x = 2,859.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.