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Finding the Fourth Proportional to 2,287.02, 3,428.37 and 825.78

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Solution

The fourth proportional to 2,287.02, 3,428.37 and 825.78 is: 1,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.02 : 3,428.37 = 825.78 : x
  2. Step 2: Convert to fraction form
    2,287.02/3,428.37 = 825.78/x
  3. Step 3: Cross multiply
    2,287.02x = 3,428.37 × 825.78
  4. Step 4: Simplify right side
    2,287.02x = 2,831,079.38
  5. Step 5: Solve for x
    x = 2,831,079.38/2,287.02
  6. Step 6: Final answer
    x = 1,237.89

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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.