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Finding the Fourth Proportional to 2,111.73, 2,910.72 and 1,691.34

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Solution

The fourth proportional to 2,111.73, 2,910.72 and 1,691.34 is: 2,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.73 : 2,910.72 = 1,691.34 : x
  2. Step 2: Convert to fraction form
    2,111.73/2,910.72 = 1,691.34/x
  3. Step 3: Cross multiply
    2,111.73x = 2,910.72 × 1,691.34
  4. Step 4: Simplify right side
    2,111.73x = 4,923,017.16
  5. Step 5: Solve for x
    x = 4,923,017.16/2,111.73
  6. Step 6: Final answer
    x = 2,331.27

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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.