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Finding the Fourth Proportional to 2,108.88, 2,910.12 and 1,164.54

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Solution

The fourth proportional to 2,108.88, 2,910.12 and 1,164.54 is: 1,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.88 : 2,910.12 = 1,164.54 : x
  2. Step 2: Convert to fraction form
    2,108.88/2,910.12 = 1,164.54/x
  3. Step 3: Cross multiply
    2,108.88x = 2,910.12 × 1,164.54
  4. Step 4: Simplify right side
    2,108.88x = 3,388,951.14
  5. Step 5: Solve for x
    x = 3,388,951.14/2,108.88
  6. Step 6: Final answer
    x = 1,606.99

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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.