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Finding the Fourth Proportional to 2,172.62, 2,998.24 and 1,228.46

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Solution

The fourth proportional to 2,172.62, 2,998.24 and 1,228.46 is: 1,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.62 : 2,998.24 = 1,228.46 : x
  2. Step 2: Convert to fraction form
    2,172.62/2,998.24 = 1,228.46/x
  3. Step 3: Cross multiply
    2,172.62x = 2,998.24 × 1,228.46
  4. Step 4: Simplify right side
    2,172.62x = 3,683,217.91
  5. Step 5: Solve for x
    x = 3,683,217.91/2,172.62
  6. Step 6: Final answer
    x = 1,695.29

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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.