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Finding the Fourth Proportional to 2,071.63, 3,108.03 and 685.09

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Solution

The fourth proportional to 2,071.63, 3,108.03 and 685.09 is: 1,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.63 : 3,108.03 = 685.09 : x
  2. Step 2: Convert to fraction form
    2,071.63/3,108.03 = 685.09/x
  3. Step 3: Cross multiply
    2,071.63x = 3,108.03 × 685.09
  4. Step 4: Simplify right side
    2,071.63x = 2,129,280.27
  5. Step 5: Solve for x
    x = 2,129,280.27/2,071.63
  6. Step 6: Final answer
    x = 1,027.83

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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.