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Finding the Fourth Proportional to 4,269.86, 6,407.67 and 1,496.55

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Solution

The fourth proportional to 4,269.86, 6,407.67 and 1,496.55 is: 2,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.86 : 6,407.67 = 1,496.55 : x
  2. Step 2: Convert to fraction form
    4,269.86/6,407.67 = 1,496.55/x
  3. Step 3: Cross multiply
    4,269.86x = 6,407.67 × 1,496.55
  4. Step 4: Simplify right side
    4,269.86x = 9,589,398.54
  5. Step 5: Solve for x
    x = 9,589,398.54/4,269.86
  6. Step 6: Final answer
    x = 2,245.83

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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.