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Finding the Fourth Proportional to 3,142.74, 4,715.73 and 1,194.96

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Solution

The fourth proportional to 3,142.74, 4,715.73 and 1,194.96 is: 1,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.74 : 4,715.73 = 1,194.96 : x
  2. Step 2: Convert to fraction form
    3,142.74/4,715.73 = 1,194.96/x
  3. Step 3: Cross multiply
    3,142.74x = 4,715.73 × 1,194.96
  4. Step 4: Simplify right side
    3,142.74x = 5,635,108.72
  5. Step 5: Solve for x
    x = 5,635,108.72/3,142.74
  6. Step 6: Final answer
    x = 1,793.06

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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.