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Finding the Fourth Proportional to 2,199.29, 3,297.84 and 737.96

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Solution

The fourth proportional to 2,199.29, 3,297.84 and 737.96 is: 1,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.29 : 3,297.84 = 737.96 : x
  2. Step 2: Convert to fraction form
    2,199.29/3,297.84 = 737.96/x
  3. Step 3: Cross multiply
    2,199.29x = 3,297.84 × 737.96
  4. Step 4: Simplify right side
    2,199.29x = 2,433,674.01
  5. Step 5: Solve for x
    x = 2,433,674.01/2,199.29
  6. Step 6: Final answer
    x = 1,106.57

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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.