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Finding the Fourth Proportional to 2,062.33, 3,097.64 and 1,772.28

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Solution

The fourth proportional to 2,062.33, 3,097.64 and 1,772.28 is: 2,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.33 : 3,097.64 = 1,772.28 : x
  2. Step 2: Convert to fraction form
    2,062.33/3,097.64 = 1,772.28/x
  3. Step 3: Cross multiply
    2,062.33x = 3,097.64 × 1,772.28
  4. Step 4: Simplify right side
    2,062.33x = 5,489,889.85
  5. Step 5: Solve for x
    x = 5,489,889.85/2,062.33
  6. Step 6: Final answer
    x = 2,661.99

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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.