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Finding the Fourth Proportional to 2,267.70, 3,168.30 and 2,267.70

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Solution

The fourth proportional to 2,267.70, 3,168.30 and 2,267.70 is: 3,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.70 : 3,168.30 = 2,267.70 : x
  2. Step 2: Convert to fraction form
    2,267.70/3,168.30 = 2,267.70/x
  3. Step 3: Cross multiply
    2,267.70x = 3,168.30 × 2,267.70
  4. Step 4: Simplify right side
    2,267.70x = 7,184,753.91
  5. Step 5: Solve for x
    x = 7,184,753.91/2,267.70
  6. Step 6: Final answer
    x = 3,168.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.