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Finding the Fourth Proportional to 2,134.68, 3,199.02 and 1,614.24

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Solution

The fourth proportional to 2,134.68, 3,199.02 and 1,614.24 is: 2,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.68 : 3,199.02 = 1,614.24 : x
  2. Step 2: Convert to fraction form
    2,134.68/3,199.02 = 1,614.24/x
  3. Step 3: Cross multiply
    2,134.68x = 3,199.02 × 1,614.24
  4. Step 4: Simplify right side
    2,134.68x = 5,163,986.04
  5. Step 5: Solve for x
    x = 5,163,986.04/2,134.68
  6. Step 6: Final answer
    x = 2,419.09

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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.