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Finding the Fourth Proportional to 2,172.77, 2,997.71 and 1,228.45

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Solution

The fourth proportional to 2,172.77, 2,997.71 and 1,228.45 is: 1,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.77 : 2,997.71 = 1,228.45 : x
  2. Step 2: Convert to fraction form
    2,172.77/2,997.71 = 1,228.45/x
  3. Step 3: Cross multiply
    2,172.77x = 2,997.71 × 1,228.45
  4. Step 4: Simplify right side
    2,172.77x = 3,682,515.72
  5. Step 5: Solve for x
    x = 3,682,515.72/2,172.77
  6. Step 6: Final answer
    x = 1,694.85

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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.