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Finding the Fourth Proportional to 2,590.29, 3,884.22 and 834.96

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Solution

The fourth proportional to 2,590.29, 3,884.22 and 834.96 is: 1,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.29 : 3,884.22 = 834.96 : x
  2. Step 2: Convert to fraction form
    2,590.29/3,884.22 = 834.96/x
  3. Step 3: Cross multiply
    2,590.29x = 3,884.22 × 834.96
  4. Step 4: Simplify right side
    2,590.29x = 3,243,168.33
  5. Step 5: Solve for x
    x = 3,243,168.33/2,590.29
  6. Step 6: Final answer
    x = 1,252.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.