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Finding the Fourth Proportional to 2,172.86, 2,998.52 and 1,178.15

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Solution

The fourth proportional to 2,172.86, 2,998.52 and 1,178.15 is: 1,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.86 : 2,998.52 = 1,178.15 : x
  2. Step 2: Convert to fraction form
    2,172.86/2,998.52 = 1,178.15/x
  3. Step 3: Cross multiply
    2,172.86x = 2,998.52 × 1,178.15
  4. Step 4: Simplify right side
    2,172.86x = 3,532,685.45
  5. Step 5: Solve for x
    x = 3,532,685.45/2,172.86
  6. Step 6: Final answer
    x = 1,625.83

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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.