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Finding the Fourth Proportional to 2,632.42, 3,632.99 and 1,968.13

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Solution

The fourth proportional to 2,632.42, 3,632.99 and 1,968.13 is: 2,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.42 : 3,632.99 = 1,968.13 : x
  2. Step 2: Convert to fraction form
    2,632.42/3,632.99 = 1,968.13/x
  3. Step 3: Cross multiply
    2,632.42x = 3,632.99 × 1,968.13
  4. Step 4: Simplify right side
    2,632.42x = 7,150,177.69
  5. Step 5: Solve for x
    x = 7,150,177.69/2,632.42
  6. Step 6: Final answer
    x = 2,716.20

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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.