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Finding the Fourth Proportional to 2,201.85, 3,302.62 and 814.93

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Solution

The fourth proportional to 2,201.85, 3,302.62 and 814.93 is: 1,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.85 : 3,302.62 = 814.93 : x
  2. Step 2: Convert to fraction form
    2,201.85/3,302.62 = 814.93/x
  3. Step 3: Cross multiply
    2,201.85x = 3,302.62 × 814.93
  4. Step 4: Simplify right side
    2,201.85x = 2,691,393.82
  5. Step 5: Solve for x
    x = 2,691,393.82/2,201.85
  6. Step 6: Final answer
    x = 1,222.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.