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Finding the Fourth Proportional to 3,297.42, 4,946.10 and 1,448.07

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Solution

The fourth proportional to 3,297.42, 4,946.10 and 1,448.07 is: 2,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.42 : 4,946.10 = 1,448.07 : x
  2. Step 2: Convert to fraction form
    3,297.42/4,946.10 = 1,448.07/x
  3. Step 3: Cross multiply
    3,297.42x = 4,946.10 × 1,448.07
  4. Step 4: Simplify right side
    3,297.42x = 7,162,299.03
  5. Step 5: Solve for x
    x = 7,162,299.03/3,297.42
  6. Step 6: Final answer
    x = 2,172.09

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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.