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Finding the Fourth Proportional to 2,267.52, 3,401.84 and 728.48

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Solution

The fourth proportional to 2,267.52, 3,401.84 and 728.48 is: 1,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.52 : 3,401.84 = 728.48 : x
  2. Step 2: Convert to fraction form
    2,267.52/3,401.84 = 728.48/x
  3. Step 3: Cross multiply
    2,267.52x = 3,401.84 × 728.48
  4. Step 4: Simplify right side
    2,267.52x = 2,478,172.40
  5. Step 5: Solve for x
    x = 2,478,172.40/2,267.52
  6. Step 6: Final answer
    x = 1,092.90

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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.