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Finding the Fourth Proportional to 2,270.50, 3,408.18 and 1,118.68

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Solution

The fourth proportional to 2,270.50, 3,408.18 and 1,118.68 is: 1,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.50 : 3,408.18 = 1,118.68 : x
  2. Step 2: Convert to fraction form
    2,270.50/3,408.18 = 1,118.68/x
  3. Step 3: Cross multiply
    2,270.50x = 3,408.18 × 1,118.68
  4. Step 4: Simplify right side
    2,270.50x = 3,812,662.80
  5. Step 5: Solve for x
    x = 3,812,662.80/2,270.50
  6. Step 6: Final answer
    x = 1,679.22

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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.