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Finding the Fourth Proportional to 2,092.44, 3,136.22 and 935.76

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Solution

The fourth proportional to 2,092.44, 3,136.22 and 935.76 is: 1,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.44 : 3,136.22 = 935.76 : x
  2. Step 2: Convert to fraction form
    2,092.44/3,136.22 = 935.76/x
  3. Step 3: Cross multiply
    2,092.44x = 3,136.22 × 935.76
  4. Step 4: Simplify right side
    2,092.44x = 2,934,749.23
  5. Step 5: Solve for x
    x = 2,934,749.23/2,092.44
  6. Step 6: Final answer
    x = 1,402.55

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1.5x scale

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.