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Finding the Fourth Proportional to 2,094.00, 2,889.74 and 1,149.85

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Solution

The fourth proportional to 2,094.00, 2,889.74 and 1,149.85 is: 1,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.00 : 2,889.74 = 1,149.85 : x
  2. Step 2: Convert to fraction form
    2,094.00/2,889.74 = 1,149.85/x
  3. Step 3: Cross multiply
    2,094.00x = 2,889.74 × 1,149.85
  4. Step 4: Simplify right side
    2,094.00x = 3,322,760.20
  5. Step 5: Solve for x
    x = 3,322,760.20/2,094.00
  6. Step 6: Final answer
    x = 1,586.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.