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Finding the Fourth Proportional to 2,062.91, 3,093.98 and 675.83

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Solution

The fourth proportional to 2,062.91, 3,093.98 and 675.83 is: 1,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.91 : 3,093.98 = 675.83 : x
  2. Step 2: Convert to fraction form
    2,062.91/3,093.98 = 675.83/x
  3. Step 3: Cross multiply
    2,062.91x = 3,093.98 × 675.83
  4. Step 4: Simplify right side
    2,062.91x = 2,091,008.86
  5. Step 5: Solve for x
    x = 2,091,008.86/2,062.91
  6. Step 6: Final answer
    x = 1,013.62

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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.