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Finding the Fourth Proportional to 2,033.25, 2,803.17 and 1,614.99

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Solution

The fourth proportional to 2,033.25, 2,803.17 and 1,614.99 is: 2,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.25 : 2,803.17 = 1,614.99 : x
  2. Step 2: Convert to fraction form
    2,033.25/2,803.17 = 1,614.99/x
  3. Step 3: Cross multiply
    2,033.25x = 2,803.17 × 1,614.99
  4. Step 4: Simplify right side
    2,033.25x = 4,527,092.32
  5. Step 5: Solve for x
    x = 4,527,092.32/2,033.25
  6. Step 6: Final answer
    x = 2,226.53

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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.