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Finding the Fourth Proportional to 2,116.88, 3,163.19 and 1,613.79

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Solution

The fourth proportional to 2,116.88, 3,163.19 and 1,613.79 is: 2,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.88 : 3,163.19 = 1,613.79 : x
  2. Step 2: Convert to fraction form
    2,116.88/3,163.19 = 1,613.79/x
  3. Step 3: Cross multiply
    2,116.88x = 3,163.19 × 1,613.79
  4. Step 4: Simplify right side
    2,116.88x = 5,104,709.78
  5. Step 5: Solve for x
    x = 5,104,709.78/2,116.88
  6. Step 6: Final answer
    x = 2,411.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.