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Finding the Fourth Proportional to 2,172.57, 2,997.86 and 1,228.49

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Solution

The fourth proportional to 2,172.57, 2,997.86 and 1,228.49 is: 1,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.57 : 2,997.86 = 1,228.49 : x
  2. Step 2: Convert to fraction form
    2,172.57/2,997.86 = 1,228.49/x
  3. Step 3: Cross multiply
    2,172.57x = 2,997.86 × 1,228.49
  4. Step 4: Simplify right side
    2,172.57x = 3,682,841.03
  5. Step 5: Solve for x
    x = 3,682,841.03/2,172.57
  6. Step 6: Final answer
    x = 1,695.15

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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.