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Finding the Fourth Proportional to 2,172.87, 2,998.51 and 1,178.12

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Solution

The fourth proportional to 2,172.87, 2,998.51 and 1,178.12 is: 1,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.87 : 2,998.51 = 1,178.12 : x
  2. Step 2: Convert to fraction form
    2,172.87/2,998.51 = 1,178.12/x
  3. Step 3: Cross multiply
    2,172.87x = 2,998.51 × 1,178.12
  4. Step 4: Simplify right side
    2,172.87x = 3,532,609.15
  5. Step 5: Solve for x
    x = 3,532,609.15/2,172.87
  6. Step 6: Final answer
    x = 1,625.78

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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.