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Finding the Fourth Proportional to 2,201.29, 3,301.94 and 885.65

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Solution

The fourth proportional to 2,201.29, 3,301.94 and 885.65 is: 1,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.29 : 3,301.94 = 885.65 : x
  2. Step 2: Convert to fraction form
    2,201.29/3,301.94 = 885.65/x
  3. Step 3: Cross multiply
    2,201.29x = 3,301.94 × 885.65
  4. Step 4: Simplify right side
    2,201.29x = 2,924,348.87
  5. Step 5: Solve for x
    x = 2,924,348.87/2,201.29
  6. Step 6: Final answer
    x = 1,328.47

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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.