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Finding the Fourth Proportional to 2,573.96, 3,861.39 and 932.79

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Solution

The fourth proportional to 2,573.96, 3,861.39 and 932.79 is: 1,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.96 : 3,861.39 = 932.79 : x
  2. Step 2: Convert to fraction form
    2,573.96/3,861.39 = 932.79/x
  3. Step 3: Cross multiply
    2,573.96x = 3,861.39 × 932.79
  4. Step 4: Simplify right side
    2,573.96x = 3,601,878.71
  5. Step 5: Solve for x
    x = 3,601,878.71/2,573.96
  6. Step 6: Final answer
    x = 1,399.36

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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.