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Finding the Fourth Proportional to 2,671.98, 3,687.27 and 1,609.86

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Solution

The fourth proportional to 2,671.98, 3,687.27 and 1,609.86 is: 2,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.98 : 3,687.27 = 1,609.86 : x
  2. Step 2: Convert to fraction form
    2,671.98/3,687.27 = 1,609.86/x
  3. Step 3: Cross multiply
    2,671.98x = 3,687.27 × 1,609.86
  4. Step 4: Simplify right side
    2,671.98x = 5,935,988.48
  5. Step 5: Solve for x
    x = 5,935,988.48/2,671.98
  6. Step 6: Final answer
    x = 2,221.57

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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.