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Finding the Fourth Proportional to 2,324.46, 3,188.09 and 2,062.02

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Solution

The fourth proportional to 2,324.46, 3,188.09 and 2,062.02 is: 2,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.46 : 3,188.09 = 2,062.02 : x
  2. Step 2: Convert to fraction form
    2,324.46/3,188.09 = 2,062.02/x
  3. Step 3: Cross multiply
    2,324.46x = 3,188.09 × 2,062.02
  4. Step 4: Simplify right side
    2,324.46x = 6,573,900.19
  5. Step 5: Solve for x
    x = 6,573,900.19/2,324.46
  6. Step 6: Final answer
    x = 2,828.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.