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Finding the Fourth Proportional to 2,201.73, 3,034.01 and 1,571.15

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Solution

The fourth proportional to 2,201.73, 3,034.01 and 1,571.15 is: 2,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.73 : 3,034.01 = 1,571.15 : x
  2. Step 2: Convert to fraction form
    2,201.73/3,034.01 = 1,571.15/x
  3. Step 3: Cross multiply
    2,201.73x = 3,034.01 × 1,571.15
  4. Step 4: Simplify right side
    2,201.73x = 4,766,870.42
  5. Step 5: Solve for x
    x = 4,766,870.42/2,201.73
  6. Step 6: Final answer
    x = 2,165.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.