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Finding the Fourth Proportional to 2,283.90, 3,425.87 and 822.03

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Solution

The fourth proportional to 2,283.90, 3,425.87 and 822.03 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.90 : 3,425.87 = 822.03 : x
  2. Step 2: Convert to fraction form
    2,283.90/3,425.87 = 822.03/x
  3. Step 3: Cross multiply
    2,283.90x = 3,425.87 × 822.03
  4. Step 4: Simplify right side
    2,283.90x = 2,816,167.92
  5. Step 5: Solve for x
    x = 2,816,167.92/2,283.90
  6. Step 6: Final answer
    x = 1,233.05

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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.