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Finding the Fourth Proportional to 2,092.59, 3,137.77 and 705.46

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Solution

The fourth proportional to 2,092.59, 3,137.77 and 705.46 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.59 : 3,137.77 = 705.46 : x
  2. Step 2: Convert to fraction form
    2,092.59/3,137.77 = 705.46/x
  3. Step 3: Cross multiply
    2,092.59x = 3,137.77 × 705.46
  4. Step 4: Simplify right side
    2,092.59x = 2,213,571.22
  5. Step 5: Solve for x
    x = 2,213,571.22/2,092.59
  6. Step 6: Final answer
    x = 1,057.81

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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.