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Finding the Fourth Proportional to 2,876.10, 4,314.39 and 796.10

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Solution

The fourth proportional to 2,876.10, 4,314.39 and 796.10 is: 1,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.10 : 4,314.39 = 796.10 : x
  2. Step 2: Convert to fraction form
    2,876.10/4,314.39 = 796.10/x
  3. Step 3: Cross multiply
    2,876.10x = 4,314.39 × 796.10
  4. Step 4: Simplify right side
    2,876.10x = 3,434,685.88
  5. Step 5: Solve for x
    x = 3,434,685.88/2,876.10
  6. Step 6: Final answer
    x = 1,194.22

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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.