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Finding the Fourth Proportional to 2,369.27, 3,552.81 and 1,274.15

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Solution

The fourth proportional to 2,369.27, 3,552.81 and 1,274.15 is: 1,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.27 : 3,552.81 = 1,274.15 : x
  2. Step 2: Convert to fraction form
    2,369.27/3,552.81 = 1,274.15/x
  3. Step 3: Cross multiply
    2,369.27x = 3,552.81 × 1,274.15
  4. Step 4: Simplify right side
    2,369.27x = 4,526,795.10
  5. Step 5: Solve for x
    x = 4,526,795.10/2,369.27
  6. Step 6: Final answer
    x = 1,910.63

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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.