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Finding the Fourth Proportional to 2,274.44, 3,408.60 and 1,176.50

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Solution

The fourth proportional to 2,274.44, 3,408.60 and 1,176.50 is: 1,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.44 : 3,408.60 = 1,176.50 : x
  2. Step 2: Convert to fraction form
    2,274.44/3,408.60 = 1,176.50/x
  3. Step 3: Cross multiply
    2,274.44x = 3,408.60 × 1,176.50
  4. Step 4: Simplify right side
    2,274.44x = 4,010,217.90
  5. Step 5: Solve for x
    x = 4,010,217.90/2,274.44
  6. Step 6: Final answer
    x = 1,763.17

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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.