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Finding the Fourth Proportional to 3,234.92, 4,462.50 and 2,129

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Solution

The fourth proportional to 3,234.92, 4,462.50 and 2,129 is: 2,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.92 : 4,462.50 = 2,129 : x
  2. Step 2: Convert to fraction form
    3,234.92/4,462.50 = 2,129/x
  3. Step 3: Cross multiply
    3,234.92x = 4,462.50 × 2,129
  4. Step 4: Simplify right side
    3,234.92x = 9,500,662.50
  5. Step 5: Solve for x
    x = 9,500,662.50/3,234.92
  6. Step 6: Final answer
    x = 2,936.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.