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Finding the Fourth Proportional to 2,590.44, 3,883.82 and 834.90

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Solution

The fourth proportional to 2,590.44, 3,883.82 and 834.90 is: 1,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.44 : 3,883.82 = 834.90 : x
  2. Step 2: Convert to fraction form
    2,590.44/3,883.82 = 834.90/x
  3. Step 3: Cross multiply
    2,590.44x = 3,883.82 × 834.90
  4. Step 4: Simplify right side
    2,590.44x = 3,242,601.32
  5. Step 5: Solve for x
    x = 3,242,601.32/2,590.44
  6. Step 6: Final answer
    x = 1,251.76

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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.