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Finding the Fourth Proportional to 4,190.99, 6,286.49 and 1,269.32

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Solution

The fourth proportional to 4,190.99, 6,286.49 and 1,269.32 is: 1,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.99 : 6,286.49 = 1,269.32 : x
  2. Step 2: Convert to fraction form
    4,190.99/6,286.49 = 1,269.32/x
  3. Step 3: Cross multiply
    4,190.99x = 6,286.49 × 1,269.32
  4. Step 4: Simplify right side
    4,190.99x = 7,979,534.47
  5. Step 5: Solve for x
    x = 7,979,534.47/4,190.99
  6. Step 6: Final answer
    x = 1,903.98

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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.