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Finding the Fourth Proportional to 1,962.24, 2,943.76 and 575.62

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Solution

The fourth proportional to 1,962.24, 2,943.76 and 575.62 is: 863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.24 : 2,943.76 = 575.62 : x
  2. Step 2: Convert to fraction form
    1,962.24/2,943.76 = 575.62/x
  3. Step 3: Cross multiply
    1,962.24x = 2,943.76 × 575.62
  4. Step 4: Simplify right side
    1,962.24x = 1,694,478.33
  5. Step 5: Solve for x
    x = 1,694,478.33/1,962.24
  6. Step 6: Final answer
    x = 863.54

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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.