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Finding the Fourth Proportional to 3,297.16, 4,942.93 and 1,446.87

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Solution

The fourth proportional to 3,297.16, 4,942.93 and 1,446.87 is: 2,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.16 : 4,942.93 = 1,446.87 : x
  2. Step 2: Convert to fraction form
    3,297.16/4,942.93 = 1,446.87/x
  3. Step 3: Cross multiply
    3,297.16x = 4,942.93 × 1,446.87
  4. Step 4: Simplify right side
    3,297.16x = 7,151,777.13
  5. Step 5: Solve for x
    x = 7,151,777.13/3,297.16
  6. Step 6: Final answer
    x = 2,169.07

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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.