Home / 2,092.89-3,136-1,105.66

Finding the Fourth Proportional to 2,092.89, 3,136 and 1,105.66

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Solution

The fourth proportional to 2,092.89, 3,136 and 1,105.66 is: 1,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.89 : 3,136 = 1,105.66 : x
  2. Step 2: Convert to fraction form
    2,092.89/3,136 = 1,105.66/x
  3. Step 3: Cross multiply
    2,092.89x = 3,136 × 1,105.66
  4. Step 4: Simplify right side
    2,092.89x = 3,467,349.76
  5. Step 5: Solve for x
    x = 3,467,349.76/2,092.89
  6. Step 6: Final answer
    x = 1,656.73

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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.