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Finding the Fourth Proportional to 2,115.02, 2,917.09 and 1,616.42

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Solution

The fourth proportional to 2,115.02, 2,917.09 and 1,616.42 is: 2,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.02 : 2,917.09 = 1,616.42 : x
  2. Step 2: Convert to fraction form
    2,115.02/2,917.09 = 1,616.42/x
  3. Step 3: Cross multiply
    2,115.02x = 2,917.09 × 1,616.42
  4. Step 4: Simplify right side
    2,115.02x = 4,715,242.62
  5. Step 5: Solve for x
    x = 4,715,242.62/2,115.02
  6. Step 6: Final answer
    x = 2,229.41

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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.