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Finding the Fourth Proportional to 2,116.89, 2,919.87 and 1,369.71

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Solution

The fourth proportional to 2,116.89, 2,919.87 and 1,369.71 is: 1,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.89 : 2,919.87 = 1,369.71 : x
  2. Step 2: Convert to fraction form
    2,116.89/2,919.87 = 1,369.71/x
  3. Step 3: Cross multiply
    2,116.89x = 2,919.87 × 1,369.71
  4. Step 4: Simplify right side
    2,116.89x = 3,999,375.14
  5. Step 5: Solve for x
    x = 3,999,375.14/2,116.89
  6. Step 6: Final answer
    x = 1,889.27

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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.