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Finding the Fourth Proportional to 1,797.39, 2,694.71 and 1,614.23

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Solution

The fourth proportional to 1,797.39, 2,694.71 and 1,614.23 is: 2,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.39 : 2,694.71 = 1,614.23 : x
  2. Step 2: Convert to fraction form
    1,797.39/2,694.71 = 1,614.23/x
  3. Step 3: Cross multiply
    1,797.39x = 2,694.71 × 1,614.23
  4. Step 4: Simplify right side
    1,797.39x = 4,349,860.18
  5. Step 5: Solve for x
    x = 4,349,860.18/1,797.39
  6. Step 6: Final answer
    x = 2,420.10

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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.