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Finding the Fourth Proportional to 2,338.68, 3,224.70 and 2,152.92

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Solution

The fourth proportional to 2,338.68, 3,224.70 and 2,152.92 is: 2,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.68 : 3,224.70 = 2,152.92 : x
  2. Step 2: Convert to fraction form
    2,338.68/3,224.70 = 2,152.92/x
  3. Step 3: Cross multiply
    2,338.68x = 3,224.70 × 2,152.92
  4. Step 4: Simplify right side
    2,338.68x = 6,942,521.12
  5. Step 5: Solve for x
    x = 6,942,521.12/2,338.68
  6. Step 6: Final answer
    x = 2,968.56

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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.