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Finding the Fourth Proportional to 1,468.35, 2,201.96 and 737.42

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Solution

The fourth proportional to 1,468.35, 2,201.96 and 737.42 is: 1,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.35 : 2,201.96 = 737.42 : x
  2. Step 2: Convert to fraction form
    1,468.35/2,201.96 = 737.42/x
  3. Step 3: Cross multiply
    1,468.35x = 2,201.96 × 737.42
  4. Step 4: Simplify right side
    1,468.35x = 1,623,754.65
  5. Step 5: Solve for x
    x = 1,623,754.65/1,468.35
  6. Step 6: Final answer
    x = 1,105.84

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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.