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Finding the Fourth Proportional to 1,962.45, 2,942.76 and 575.43

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Solution

The fourth proportional to 1,962.45, 2,942.76 and 575.43 is: 862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.45 : 2,942.76 = 575.43 : x
  2. Step 2: Convert to fraction form
    1,962.45/2,942.76 = 575.43/x
  3. Step 3: Cross multiply
    1,962.45x = 2,942.76 × 575.43
  4. Step 4: Simplify right side
    1,962.45x = 1,693,346.93
  5. Step 5: Solve for x
    x = 1,693,346.93/1,962.45
  6. Step 6: Final answer
    x = 862.87

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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.