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Finding the Fourth Proportional to 2,893.82, 4,337.24 and 1,331.66

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Solution

The fourth proportional to 2,893.82, 4,337.24 and 1,331.66 is: 1,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.82 : 4,337.24 = 1,331.66 : x
  2. Step 2: Convert to fraction form
    2,893.82/4,337.24 = 1,331.66/x
  3. Step 3: Cross multiply
    2,893.82x = 4,337.24 × 1,331.66
  4. Step 4: Simplify right side
    2,893.82x = 5,775,743.19
  5. Step 5: Solve for x
    x = 5,775,743.19/2,893.82
  6. Step 6: Final answer
    x = 1,995.89

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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.