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Finding the Fourth Proportional to 2,274.82, 3,408.03 and 1,178.02

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Solution

The fourth proportional to 2,274.82, 3,408.03 and 1,178.02 is: 1,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.82 : 3,408.03 = 1,178.02 : x
  2. Step 2: Convert to fraction form
    2,274.82/3,408.03 = 1,178.02/x
  3. Step 3: Cross multiply
    2,274.82x = 3,408.03 × 1,178.02
  4. Step 4: Simplify right side
    2,274.82x = 4,014,727.50
  5. Step 5: Solve for x
    x = 4,014,727.50/2,274.82
  6. Step 6: Final answer
    x = 1,764.86

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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.