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Finding the Fourth Proportional to 2,161.43, 3,243.04 and 1,065.80

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Solution

The fourth proportional to 2,161.43, 3,243.04 and 1,065.80 is: 1,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.43 : 3,243.04 = 1,065.80 : x
  2. Step 2: Convert to fraction form
    2,161.43/3,243.04 = 1,065.80/x
  3. Step 3: Cross multiply
    2,161.43x = 3,243.04 × 1,065.80
  4. Step 4: Simplify right side
    2,161.43x = 3,456,437.48
  5. Step 5: Solve for x
    x = 3,456,437.48/2,161.43
  6. Step 6: Final answer
    x = 1,599.15

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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.