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Finding the Fourth Proportional to 2,399.51, 3,310.43 and 1,614.08

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Solution

The fourth proportional to 2,399.51, 3,310.43 and 1,614.08 is: 2,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.51 : 3,310.43 = 1,614.08 : x
  2. Step 2: Convert to fraction form
    2,399.51/3,310.43 = 1,614.08/x
  3. Step 3: Cross multiply
    2,399.51x = 3,310.43 × 1,614.08
  4. Step 4: Simplify right side
    2,399.51x = 5,343,274.23
  5. Step 5: Solve for x
    x = 5,343,274.23/2,399.51
  6. Step 6: Final answer
    x = 2,226.82

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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.