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Finding the Fourth Proportional to 1,861.18, 2,791.72 and 628.58

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Solution

The fourth proportional to 1,861.18, 2,791.72 and 628.58 is: 942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.18 : 2,791.72 = 628.58 : x
  2. Step 2: Convert to fraction form
    1,861.18/2,791.72 = 628.58/x
  3. Step 3: Cross multiply
    1,861.18x = 2,791.72 × 628.58
  4. Step 4: Simplify right side
    1,861.18x = 1,754,819.36
  5. Step 5: Solve for x
    x = 1,754,819.36/1,861.18
  6. Step 6: Final answer
    x = 942.85

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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.