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Finding the Fourth Proportional to 2,269.82, 3,403.42 and 709.42

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Solution

The fourth proportional to 2,269.82, 3,403.42 and 709.42 is: 1,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.82 : 3,403.42 = 709.42 : x
  2. Step 2: Convert to fraction form
    2,269.82/3,403.42 = 709.42/x
  3. Step 3: Cross multiply
    2,269.82x = 3,403.42 × 709.42
  4. Step 4: Simplify right side
    2,269.82x = 2,414,454.22
  5. Step 5: Solve for x
    x = 2,414,454.22/2,269.82
  6. Step 6: Final answer
    x = 1,063.72

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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.