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Finding the Fourth Proportional to 2,484.53, 3,723.29 and 1,962.23

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Solution

The fourth proportional to 2,484.53, 3,723.29 and 1,962.23 is: 2,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.53 : 3,723.29 = 1,962.23 : x
  2. Step 2: Convert to fraction form
    2,484.53/3,723.29 = 1,962.23/x
  3. Step 3: Cross multiply
    2,484.53x = 3,723.29 × 1,962.23
  4. Step 4: Simplify right side
    2,484.53x = 7,305,922.91
  5. Step 5: Solve for x
    x = 7,305,922.91/2,484.53
  6. Step 6: Final answer
    x = 2,940.57

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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.