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Finding the Fourth Proportional to 3,491.52, 4,819.74 and 2,094

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Solution

The fourth proportional to 3,491.52, 4,819.74 and 2,094 is: 2,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.52 : 4,819.74 = 2,094 : x
  2. Step 2: Convert to fraction form
    3,491.52/4,819.74 = 2,094/x
  3. Step 3: Cross multiply
    3,491.52x = 4,819.74 × 2,094
  4. Step 4: Simplify right side
    3,491.52x = 10,092,535.56
  5. Step 5: Solve for x
    x = 10,092,535.56/3,491.52
  6. Step 6: Final answer
    x = 2,890.59

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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.