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Finding the Fourth Proportional to 2,689.98, 3,713.91 and 2,193.81

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Solution

The fourth proportional to 2,689.98, 3,713.91 and 2,193.81 is: 3,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.98 : 3,713.91 = 2,193.81 : x
  2. Step 2: Convert to fraction form
    2,689.98/3,713.91 = 2,193.81/x
  3. Step 3: Cross multiply
    2,689.98x = 3,713.91 × 2,193.81
  4. Step 4: Simplify right side
    2,689.98x = 8,147,612.90
  5. Step 5: Solve for x
    x = 8,147,612.90/2,689.98
  6. Step 6: Final answer
    x = 3,028.87

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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.