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Finding the Fourth Proportional to 2,269.97, 3,404.31 and 1,436.48

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Solution

The fourth proportional to 2,269.97, 3,404.31 and 1,436.48 is: 2,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.97 : 3,404.31 = 1,436.48 : x
  2. Step 2: Convert to fraction form
    2,269.97/3,404.31 = 1,436.48/x
  3. Step 3: Cross multiply
    2,269.97x = 3,404.31 × 1,436.48
  4. Step 4: Simplify right side
    2,269.97x = 4,890,206.21
  5. Step 5: Solve for x
    x = 4,890,206.21/2,269.97
  6. Step 6: Final answer
    x = 2,154.31

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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.