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Finding the Fourth Proportional to 2,244.69, 3,367.17 and 946.26

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Solution

The fourth proportional to 2,244.69, 3,367.17 and 946.26 is: 1,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.69 : 3,367.17 = 946.26 : x
  2. Step 2: Convert to fraction form
    2,244.69/3,367.17 = 946.26/x
  3. Step 3: Cross multiply
    2,244.69x = 3,367.17 × 946.26
  4. Step 4: Simplify right side
    2,244.69x = 3,186,218.28
  5. Step 5: Solve for x
    x = 3,186,218.28/2,244.69
  6. Step 6: Final answer
    x = 1,419.45

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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.