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Finding the Fourth Proportional to 1,968.38, 2,952.56 and 600.38

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Solution

The fourth proportional to 1,968.38, 2,952.56 and 600.38 is: 900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.38 : 2,952.56 = 600.38 : x
  2. Step 2: Convert to fraction form
    1,968.38/2,952.56 = 600.38/x
  3. Step 3: Cross multiply
    1,968.38x = 2,952.56 × 600.38
  4. Step 4: Simplify right side
    1,968.38x = 1,772,657.97
  5. Step 5: Solve for x
    x = 1,772,657.97/1,968.38
  6. Step 6: Final answer
    x = 900.57

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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.