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Finding the Fourth Proportional to 2,632.25, 3,948.40 and 2,168.17

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Solution

The fourth proportional to 2,632.25, 3,948.40 and 2,168.17 is: 3,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.25 : 3,948.40 = 2,168.17 : x
  2. Step 2: Convert to fraction form
    2,632.25/3,948.40 = 2,168.17/x
  3. Step 3: Cross multiply
    2,632.25x = 3,948.40 × 2,168.17
  4. Step 4: Simplify right side
    2,632.25x = 8,560,783.07
  5. Step 5: Solve for x
    x = 8,560,783.07/2,632.25
  6. Step 6: Final answer
    x = 3,252.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.