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Finding the Fourth Proportional to 3,143.86, 4,715.31 and 922.09

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Solution

The fourth proportional to 3,143.86, 4,715.31 and 922.09 is: 1,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.86 : 4,715.31 = 922.09 : x
  2. Step 2: Convert to fraction form
    3,143.86/4,715.31 = 922.09/x
  3. Step 3: Cross multiply
    3,143.86x = 4,715.31 × 922.09
  4. Step 4: Simplify right side
    3,143.86x = 4,347,940.20
  5. Step 5: Solve for x
    x = 4,347,940.20/3,143.86
  6. Step 6: Final answer
    x = 1,382.99

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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.