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Finding the Fourth Proportional to 2,093.94, 2,889.60 and 1,149.74

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Solution

The fourth proportional to 2,093.94, 2,889.60 and 1,149.74 is: 1,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.94 : 2,889.60 = 1,149.74 : x
  2. Step 2: Convert to fraction form
    2,093.94/2,889.60 = 1,149.74/x
  3. Step 3: Cross multiply
    2,093.94x = 2,889.60 × 1,149.74
  4. Step 4: Simplify right side
    2,093.94x = 3,322,288.70
  5. Step 5: Solve for x
    x = 3,322,288.70/2,093.94
  6. Step 6: Final answer
    x = 1,586.62

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Why These Related Problems?

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