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Finding the Fourth Proportional to 2,274.84, 3,412.09 and 1,356.23

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Solution

The fourth proportional to 2,274.84, 3,412.09 and 1,356.23 is: 2,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.84 : 3,412.09 = 1,356.23 : x
  2. Step 2: Convert to fraction form
    2,274.84/3,412.09 = 1,356.23/x
  3. Step 3: Cross multiply
    2,274.84x = 3,412.09 × 1,356.23
  4. Step 4: Simplify right side
    2,274.84x = 4,627,589.05
  5. Step 5: Solve for x
    x = 4,627,589.05/2,274.84
  6. Step 6: Final answer
    x = 2,034.25

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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.