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Finding the Fourth Proportional to 3,131.92, 4,322.12 and 1,715.64

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Solution

The fourth proportional to 3,131.92, 4,322.12 and 1,715.64 is: 2,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.92 : 4,322.12 = 1,715.64 : x
  2. Step 2: Convert to fraction form
    3,131.92/4,322.12 = 1,715.64/x
  3. Step 3: Cross multiply
    3,131.92x = 4,322.12 × 1,715.64
  4. Step 4: Simplify right side
    3,131.92x = 7,415,201.96
  5. Step 5: Solve for x
    x = 7,415,201.96/3,131.92
  6. Step 6: Final answer
    x = 2,367.62

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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.