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Finding the Fourth Proportional to 2,872.45, 3,962.31 and 1,809.80

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Solution

The fourth proportional to 2,872.45, 3,962.31 and 1,809.80 is: 2,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.45 : 3,962.31 = 1,809.80 : x
  2. Step 2: Convert to fraction form
    2,872.45/3,962.31 = 1,809.80/x
  3. Step 3: Cross multiply
    2,872.45x = 3,962.31 × 1,809.80
  4. Step 4: Simplify right side
    2,872.45x = 7,170,988.64
  5. Step 5: Solve for x
    x = 7,170,988.64/2,872.45
  6. Step 6: Final answer
    x = 2,496.47

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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.