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Finding the Fourth Proportional to 2,881.65, 3,976.86 and 2,172.24

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Solution

The fourth proportional to 2,881.65, 3,976.86 and 2,172.24 is: 2,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.65 : 3,976.86 = 2,172.24 : x
  2. Step 2: Convert to fraction form
    2,881.65/3,976.86 = 2,172.24/x
  3. Step 3: Cross multiply
    2,881.65x = 3,976.86 × 2,172.24
  4. Step 4: Simplify right side
    2,881.65x = 8,638,699.80
  5. Step 5: Solve for x
    x = 8,638,699.80/2,881.65
  6. Step 6: Final answer
    x = 2,997.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.