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Finding the Fourth Proportional to 2,298.26, 3,447.40 and 911.94

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Solution

The fourth proportional to 2,298.26, 3,447.40 and 911.94 is: 1,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.26 : 3,447.40 = 911.94 : x
  2. Step 2: Convert to fraction form
    2,298.26/3,447.40 = 911.94/x
  3. Step 3: Cross multiply
    2,298.26x = 3,447.40 × 911.94
  4. Step 4: Simplify right side
    2,298.26x = 3,143,821.96
  5. Step 5: Solve for x
    x = 3,143,821.96/2,298.26
  6. Step 6: Final answer
    x = 1,367.91

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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.