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Finding the Fourth Proportional to 2,201.43, 3,302.13 and 885.51

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Solution

The fourth proportional to 2,201.43, 3,302.13 and 885.51 is: 1,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.43 : 3,302.13 = 885.51 : x
  2. Step 2: Convert to fraction form
    2,201.43/3,302.13 = 885.51/x
  3. Step 3: Cross multiply
    2,201.43x = 3,302.13 × 885.51
  4. Step 4: Simplify right side
    2,201.43x = 2,924,069.14
  5. Step 5: Solve for x
    x = 2,924,069.14/2,201.43
  6. Step 6: Final answer
    x = 1,328.26

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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.