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Finding the Fourth Proportional to 2,092.90, 3,137.35 and 776.30

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Solution

The fourth proportional to 2,092.90, 3,137.35 and 776.30 is: 1,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.90 : 3,137.35 = 776.30 : x
  2. Step 2: Convert to fraction form
    2,092.90/3,137.35 = 776.30/x
  3. Step 3: Cross multiply
    2,092.90x = 3,137.35 × 776.30
  4. Step 4: Simplify right side
    2,092.90x = 2,435,524.81
  5. Step 5: Solve for x
    x = 2,435,524.81/2,092.90
  6. Step 6: Final answer
    x = 1,163.71

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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.