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Finding the Fourth Proportional to 2,060.38, 3,089.63 and 889.83

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Solution

The fourth proportional to 2,060.38, 3,089.63 and 889.83 is: 1,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.38 : 3,089.63 = 889.83 : x
  2. Step 2: Convert to fraction form
    2,060.38/3,089.63 = 889.83/x
  3. Step 3: Cross multiply
    2,060.38x = 3,089.63 × 889.83
  4. Step 4: Simplify right side
    2,060.38x = 2,749,245.46
  5. Step 5: Solve for x
    x = 2,749,245.46/2,060.38
  6. Step 6: Final answer
    x = 1,334.34

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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.