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Finding the Fourth Proportional to 3,234.96, 4,462.56 and 2,053.98

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Solution

The fourth proportional to 3,234.96, 4,462.56 and 2,053.98 is: 2,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.96 : 4,462.56 = 2,053.98 : x
  2. Step 2: Convert to fraction form
    3,234.96/4,462.56 = 2,053.98/x
  3. Step 3: Cross multiply
    3,234.96x = 4,462.56 × 2,053.98
  4. Step 4: Simplify right side
    3,234.96x = 9,166,008.99
  5. Step 5: Solve for x
    x = 9,166,008.99/3,234.96
  6. Step 6: Final answer
    x = 2,833.42

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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.