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Finding the Fourth Proportional to 1,930.50, 2,896.22 and 835.18

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Solution

The fourth proportional to 1,930.50, 2,896.22 and 835.18 is: 1,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.50 : 2,896.22 = 835.18 : x
  2. Step 2: Convert to fraction form
    1,930.50/2,896.22 = 835.18/x
  3. Step 3: Cross multiply
    1,930.50x = 2,896.22 × 835.18
  4. Step 4: Simplify right side
    1,930.50x = 2,418,865.02
  5. Step 5: Solve for x
    x = 2,418,865.02/1,930.50
  6. Step 6: Final answer
    x = 1,252.97

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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.