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Finding the Fourth Proportional to 2,110.34, 3,164.82 and 704.38

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Solution

The fourth proportional to 2,110.34, 3,164.82 and 704.38 is: 1,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.34 : 3,164.82 = 704.38 : x
  2. Step 2: Convert to fraction form
    2,110.34/3,164.82 = 704.38/x
  3. Step 3: Cross multiply
    2,110.34x = 3,164.82 × 704.38
  4. Step 4: Simplify right side
    2,110.34x = 2,229,235.91
  5. Step 5: Solve for x
    x = 2,229,235.91/2,110.34
  6. Step 6: Final answer
    x = 1,056.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.