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Finding the Fourth Proportional to 2,793.14, 4,189.70 and 1,558.70

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Solution

The fourth proportional to 2,793.14, 4,189.70 and 1,558.70 is: 2,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.14 : 4,189.70 = 1,558.70 : x
  2. Step 2: Convert to fraction form
    2,793.14/4,189.70 = 1,558.70/x
  3. Step 3: Cross multiply
    2,793.14x = 4,189.70 × 1,558.70
  4. Step 4: Simplify right side
    2,793.14x = 6,530,468.34
  5. Step 5: Solve for x
    x = 6,530,468.34/2,793.14
  6. Step 6: Final answer
    x = 2,338.04

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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.