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Finding the Fourth Proportional to 2,006.34, 3,010.06 and 836.89

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Solution

The fourth proportional to 2,006.34, 3,010.06 and 836.89 is: 1,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.34 : 3,010.06 = 836.89 : x
  2. Step 2: Convert to fraction form
    2,006.34/3,010.06 = 836.89/x
  3. Step 3: Cross multiply
    2,006.34x = 3,010.06 × 836.89
  4. Step 4: Simplify right side
    2,006.34x = 2,519,079.10
  5. Step 5: Solve for x
    x = 2,519,079.10/2,006.34
  6. Step 6: Final answer
    x = 1,255.56

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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.