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Finding the Fourth Proportional to 2,201.13, 3,301.69 and 662.13

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Solution

The fourth proportional to 2,201.13, 3,301.69 and 662.13 is: 993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.13 : 3,301.69 = 662.13 : x
  2. Step 2: Convert to fraction form
    2,201.13/3,301.69 = 662.13/x
  3. Step 3: Cross multiply
    2,201.13x = 3,301.69 × 662.13
  4. Step 4: Simplify right side
    2,201.13x = 2,186,148.00
  5. Step 5: Solve for x
    x = 2,186,148.00/2,201.13
  6. Step 6: Final answer
    x = 993.19

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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.