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Finding the Fourth Proportional to 2,071.86, 3,108.09 and 610.83

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Solution

The fourth proportional to 2,071.86, 3,108.09 and 610.83 is: 916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.86 : 3,108.09 = 610.83 : x
  2. Step 2: Convert to fraction form
    2,071.86/3,108.09 = 610.83/x
  3. Step 3: Cross multiply
    2,071.86x = 3,108.09 × 610.83
  4. Step 4: Simplify right side
    2,071.86x = 1,898,514.61
  5. Step 5: Solve for x
    x = 1,898,514.61/2,071.86
  6. Step 6: Final answer
    x = 916.33

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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.