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Finding the Fourth Proportional to 2,369.52, 3,274.29 and 1,809

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Solution

The fourth proportional to 2,369.52, 3,274.29 and 1,809 is: 2,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.52 : 3,274.29 = 1,809 : x
  2. Step 2: Convert to fraction form
    2,369.52/3,274.29 = 1,809/x
  3. Step 3: Cross multiply
    2,369.52x = 3,274.29 × 1,809
  4. Step 4: Simplify right side
    2,369.52x = 5,923,190.61
  5. Step 5: Solve for x
    x = 5,923,190.61/2,369.52
  6. Step 6: Final answer
    x = 2,499.74

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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.