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Finding the Fourth Proportional to 2,832.74, 3,909.22 and 1,573.82

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Solution

The fourth proportional to 2,832.74, 3,909.22 and 1,573.82 is: 2,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.74 : 3,909.22 = 1,573.82 : x
  2. Step 2: Convert to fraction form
    2,832.74/3,909.22 = 1,573.82/x
  3. Step 3: Cross multiply
    2,832.74x = 3,909.22 × 1,573.82
  4. Step 4: Simplify right side
    2,832.74x = 6,152,408.62
  5. Step 5: Solve for x
    x = 6,152,408.62/2,832.74
  6. Step 6: Final answer
    x = 2,171.89

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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.