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Finding the Fourth Proportional to 2,274.71, 3,410.44 and 1,836.50

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Solution

The fourth proportional to 2,274.71, 3,410.44 and 1,836.50 is: 2,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.71 : 3,410.44 = 1,836.50 : x
  2. Step 2: Convert to fraction form
    2,274.71/3,410.44 = 1,836.50/x
  3. Step 3: Cross multiply
    2,274.71x = 3,410.44 × 1,836.50
  4. Step 4: Simplify right side
    2,274.71x = 6,263,251.42
  5. Step 5: Solve for x
    x = 6,263,251.42/2,274.71
  6. Step 6: Final answer
    x = 2,753.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.