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Finding the Fourth Proportional to 2,872.34, 3,960.69 and 1,939.22

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Solution

The fourth proportional to 2,872.34, 3,960.69 and 1,939.22 is: 2,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.34 : 3,960.69 = 1,939.22 : x
  2. Step 2: Convert to fraction form
    2,872.34/3,960.69 = 1,939.22/x
  3. Step 3: Cross multiply
    2,872.34x = 3,960.69 × 1,939.22
  4. Step 4: Simplify right side
    2,872.34x = 7,680,649.26
  5. Step 5: Solve for x
    x = 7,680,649.26/2,872.34
  6. Step 6: Final answer
    x = 2,674.00

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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.