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Finding the Fourth Proportional to 1,467.96, 2,201.41 and 737.29

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Solution

The fourth proportional to 1,467.96, 2,201.41 and 737.29 is: 1,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.96 : 2,201.41 = 737.29 : x
  2. Step 2: Convert to fraction form
    1,467.96/2,201.41 = 737.29/x
  3. Step 3: Cross multiply
    1,467.96x = 2,201.41 × 737.29
  4. Step 4: Simplify right side
    1,467.96x = 1,623,077.58
  5. Step 5: Solve for x
    x = 1,623,077.58/1,467.96
  6. Step 6: Final answer
    x = 1,105.67

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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.