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Finding the Fourth Proportional to 2,062.96, 3,092.94 and 675.86

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Solution

The fourth proportional to 2,062.96, 3,092.94 and 675.86 is: 1,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.96 : 3,092.94 = 675.86 : x
  2. Step 2: Convert to fraction form
    2,062.96/3,092.94 = 675.86/x
  3. Step 3: Cross multiply
    2,062.96x = 3,092.94 × 675.86
  4. Step 4: Simplify right side
    2,062.96x = 2,090,394.43
  5. Step 5: Solve for x
    x = 2,090,394.43/2,062.96
  6. Step 6: Final answer
    x = 1,013.30

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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.