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Finding the Fourth Proportional to 2,469.14, 3,703.32 and 737.36

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Solution

The fourth proportional to 2,469.14, 3,703.32 and 737.36 is: 1,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.14 : 3,703.32 = 737.36 : x
  2. Step 2: Convert to fraction form
    2,469.14/3,703.32 = 737.36/x
  3. Step 3: Cross multiply
    2,469.14x = 3,703.32 × 737.36
  4. Step 4: Simplify right side
    2,469.14x = 2,730,680.04
  5. Step 5: Solve for x
    x = 2,730,680.04/2,469.14
  6. Step 6: Final answer
    x = 1,105.92

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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.