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Finding the Fourth Proportional to 2,631.72, 3,944.34 and 2,145.72

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Solution

The fourth proportional to 2,631.72, 3,944.34 and 2,145.72 is: 3,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.72 : 3,944.34 = 2,145.72 : x
  2. Step 2: Convert to fraction form
    2,631.72/3,944.34 = 2,145.72/x
  3. Step 3: Cross multiply
    2,631.72x = 3,944.34 × 2,145.72
  4. Step 4: Simplify right side
    2,631.72x = 8,463,449.22
  5. Step 5: Solve for x
    x = 8,463,449.22/2,631.72
  6. Step 6: Final answer
    x = 3,215.94

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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.