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Finding the Fourth Proportional to 2,269.17, 3,404.07 and 709.31

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Solution

The fourth proportional to 2,269.17, 3,404.07 and 709.31 is: 1,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.17 : 3,404.07 = 709.31 : x
  2. Step 2: Convert to fraction form
    2,269.17/3,404.07 = 709.31/x
  3. Step 3: Cross multiply
    2,269.17x = 3,404.07 × 709.31
  4. Step 4: Simplify right side
    2,269.17x = 2,414,540.89
  5. Step 5: Solve for x
    x = 2,414,540.89/2,269.17
  6. Step 6: Final answer
    x = 1,064.06

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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.