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Finding the Fourth Proportional to 2,451.59, 3,379.88 and 1,664.27

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Solution

The fourth proportional to 2,451.59, 3,379.88 and 1,664.27 is: 2,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.59 : 3,379.88 = 1,664.27 : x
  2. Step 2: Convert to fraction form
    2,451.59/3,379.88 = 1,664.27/x
  3. Step 3: Cross multiply
    2,451.59x = 3,379.88 × 1,664.27
  4. Step 4: Simplify right side
    2,451.59x = 5,625,007.67
  5. Step 5: Solve for x
    x = 5,625,007.67/2,451.59
  6. Step 6: Final answer
    x = 2,294.44

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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.