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Finding the Fourth Proportional to 2,223.82, 3,333.50 and 761.97

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Solution

The fourth proportional to 2,223.82, 3,333.50 and 761.97 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.82 : 3,333.50 = 761.97 : x
  2. Step 2: Convert to fraction form
    2,223.82/3,333.50 = 761.97/x
  3. Step 3: Cross multiply
    2,223.82x = 3,333.50 × 761.97
  4. Step 4: Simplify right side
    2,223.82x = 2,540,027.00
  5. Step 5: Solve for x
    x = 2,540,027.00/2,223.82
  6. Step 6: Final answer
    x = 1,142.19

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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.