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Finding the Fourth Proportional to 2,274.26, 3,409.14 and 958.38

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Solution

The fourth proportional to 2,274.26, 3,409.14 and 958.38 is: 1,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.26 : 3,409.14 = 958.38 : x
  2. Step 2: Convert to fraction form
    2,274.26/3,409.14 = 958.38/x
  3. Step 3: Cross multiply
    2,274.26x = 3,409.14 × 958.38
  4. Step 4: Simplify right side
    2,274.26x = 3,267,251.59
  5. Step 5: Solve for x
    x = 3,267,251.59/2,274.26
  6. Step 6: Final answer
    x = 1,436.63

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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.