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Finding the Fourth Proportional to 1,961.30, 2,942.22 and 574.74

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Solution

The fourth proportional to 1,961.30, 2,942.22 and 574.74 is: 862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.30 : 2,942.22 = 574.74 : x
  2. Step 2: Convert to fraction form
    1,961.30/2,942.22 = 574.74/x
  3. Step 3: Cross multiply
    1,961.30x = 2,942.22 × 574.74
  4. Step 4: Simplify right side
    1,961.30x = 1,691,011.52
  5. Step 5: Solve for x
    x = 1,691,011.52/1,961.30
  6. Step 6: Final answer
    x = 862.19

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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.