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Finding the Fourth Proportional to 2,245.20, 3,367.53 and 601.87

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Solution

The fourth proportional to 2,245.20, 3,367.53 and 601.87 is: 902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.20 : 3,367.53 = 601.87 : x
  2. Step 2: Convert to fraction form
    2,245.20/3,367.53 = 601.87/x
  3. Step 3: Cross multiply
    2,245.20x = 3,367.53 × 601.87
  4. Step 4: Simplify right side
    2,245.20x = 2,026,815.28
  5. Step 5: Solve for x
    x = 2,026,815.28/2,245.20
  6. Step 6: Final answer
    x = 902.73

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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.