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Finding the Fourth Proportional to 2,269.44, 3,404.80 and 709.66

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Solution

The fourth proportional to 2,269.44, 3,404.80 and 709.66 is: 1,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.44 : 3,404.80 = 709.66 : x
  2. Step 2: Convert to fraction form
    2,269.44/3,404.80 = 709.66/x
  3. Step 3: Cross multiply
    2,269.44x = 3,404.80 × 709.66
  4. Step 4: Simplify right side
    2,269.44x = 2,416,265.54
  5. Step 5: Solve for x
    x = 2,416,265.54/2,269.44
  6. Step 6: Final answer
    x = 1,064.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.