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Finding the Fourth Proportional to 2,040.71, 2,816.19 and 1,201.41

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Solution

The fourth proportional to 2,040.71, 2,816.19 and 1,201.41 is: 1,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.71 : 2,816.19 = 1,201.41 : x
  2. Step 2: Convert to fraction form
    2,040.71/2,816.19 = 1,201.41/x
  3. Step 3: Cross multiply
    2,040.71x = 2,816.19 × 1,201.41
  4. Step 4: Simplify right side
    2,040.71x = 3,383,398.83
  5. Step 5: Solve for x
    x = 3,383,398.83/2,040.71
  6. Step 6: Final answer
    x = 1,657.96

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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.