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Finding the Fourth Proportional to 3,488.92, 4,814.70 and 1,996.81

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Solution

The fourth proportional to 3,488.92, 4,814.70 and 1,996.81 is: 2,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.92 : 4,814.70 = 1,996.81 : x
  2. Step 2: Convert to fraction form
    3,488.92/4,814.70 = 1,996.81/x
  3. Step 3: Cross multiply
    3,488.92x = 4,814.70 × 1,996.81
  4. Step 4: Simplify right side
    3,488.92x = 9,614,041.11
  5. Step 5: Solve for x
    x = 9,614,041.11/3,488.92
  6. Step 6: Final answer
    x = 2,755.59

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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.