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Finding the Fourth Proportional to 2,329.96, 3,499.74 and 2,252.20

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Solution

The fourth proportional to 2,329.96, 3,499.74 and 2,252.20 is: 3,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.96 : 3,499.74 = 2,252.20 : x
  2. Step 2: Convert to fraction form
    2,329.96/3,499.74 = 2,252.20/x
  3. Step 3: Cross multiply
    2,329.96x = 3,499.74 × 2,252.20
  4. Step 4: Simplify right side
    2,329.96x = 7,882,114.43
  5. Step 5: Solve for x
    x = 7,882,114.43/2,329.96
  6. Step 6: Final answer
    x = 3,382.94

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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.