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Finding the Fourth Proportional to 2,484.33, 3,723 and 1,962.03

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Solution

The fourth proportional to 2,484.33, 3,723 and 1,962.03 is: 2,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.33 : 3,723 = 1,962.03 : x
  2. Step 2: Convert to fraction form
    2,484.33/3,723 = 1,962.03/x
  3. Step 3: Cross multiply
    2,484.33x = 3,723 × 1,962.03
  4. Step 4: Simplify right side
    2,484.33x = 7,304,637.69
  5. Step 5: Solve for x
    x = 7,304,637.69/2,484.33
  6. Step 6: Final answer
    x = 2,940.28

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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.