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Finding the Fourth Proportional to 2,245.26, 3,369.33 and 946.74

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Solution

The fourth proportional to 2,245.26, 3,369.33 and 946.74 is: 1,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.26 : 3,369.33 = 946.74 : x
  2. Step 2: Convert to fraction form
    2,245.26/3,369.33 = 946.74/x
  3. Step 3: Cross multiply
    2,245.26x = 3,369.33 × 946.74
  4. Step 4: Simplify right side
    2,245.26x = 3,189,879.48
  5. Step 5: Solve for x
    x = 3,189,879.48/2,245.26
  6. Step 6: Final answer
    x = 1,420.72

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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.