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Finding the Fourth Proportional to 2,169.34, 2,996.87 and 1,731.94

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Solution

The fourth proportional to 2,169.34, 2,996.87 and 1,731.94 is: 2,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.34 : 2,996.87 = 1,731.94 : x
  2. Step 2: Convert to fraction form
    2,169.34/2,996.87 = 1,731.94/x
  3. Step 3: Cross multiply
    2,169.34x = 2,996.87 × 1,731.94
  4. Step 4: Simplify right side
    2,169.34x = 5,190,382.88
  5. Step 5: Solve for x
    x = 5,190,382.88/2,169.34
  6. Step 6: Final answer
    x = 2,392.61

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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.