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Finding the Fourth Proportional to 3,188.88, 4,781.46 and 1,456.56

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Solution

The fourth proportional to 3,188.88, 4,781.46 and 1,456.56 is: 2,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.88 : 4,781.46 = 1,456.56 : x
  2. Step 2: Convert to fraction form
    3,188.88/4,781.46 = 1,456.56/x
  3. Step 3: Cross multiply
    3,188.88x = 4,781.46 × 1,456.56
  4. Step 4: Simplify right side
    3,188.88x = 6,964,483.38
  5. Step 5: Solve for x
    x = 6,964,483.38/3,188.88
  6. Step 6: Final answer
    x = 2,183.99

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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.