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Finding the Fourth Proportional to 2,060.38, 3,089.54 and 826.77

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Solution

The fourth proportional to 2,060.38, 3,089.54 and 826.77 is: 1,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.38 : 3,089.54 = 826.77 : x
  2. Step 2: Convert to fraction form
    2,060.38/3,089.54 = 826.77/x
  3. Step 3: Cross multiply
    2,060.38x = 3,089.54 × 826.77
  4. Step 4: Simplify right side
    2,060.38x = 2,554,338.99
  5. Step 5: Solve for x
    x = 2,554,338.99/2,060.38
  6. Step 6: Final answer
    x = 1,239.74

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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.