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Finding the Fourth Proportional to 3,231.28, 4,842 and 1,282.48

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Solution

The fourth proportional to 3,231.28, 4,842 and 1,282.48 is: 1,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.28 : 4,842 = 1,282.48 : x
  2. Step 2: Convert to fraction form
    3,231.28/4,842 = 1,282.48/x
  3. Step 3: Cross multiply
    3,231.28x = 4,842 × 1,282.48
  4. Step 4: Simplify right side
    3,231.28x = 6,209,768.16
  5. Step 5: Solve for x
    x = 6,209,768.16/3,231.28
  6. Step 6: Final answer
    x = 1,921.77

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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.