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Finding the Fourth Proportional to 2,172.65, 2,998.29 and 1,177.97

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Solution

The fourth proportional to 2,172.65, 2,998.29 and 1,177.97 is: 1,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.65 : 2,998.29 = 1,177.97 : x
  2. Step 2: Convert to fraction form
    2,172.65/2,998.29 = 1,177.97/x
  3. Step 3: Cross multiply
    2,172.65x = 2,998.29 × 1,177.97
  4. Step 4: Simplify right side
    2,172.65x = 3,531,880.68
  5. Step 5: Solve for x
    x = 3,531,880.68/2,172.65
  6. Step 6: Final answer
    x = 1,625.61

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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.