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Finding the Fourth Proportional to 2,269.74, 3,404.49 and 709.74

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Solution

The fourth proportional to 2,269.74, 3,404.49 and 709.74 is: 1,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.74 : 3,404.49 = 709.74 : x
  2. Step 2: Convert to fraction form
    2,269.74/3,404.49 = 709.74/x
  3. Step 3: Cross multiply
    2,269.74x = 3,404.49 × 709.74
  4. Step 4: Simplify right side
    2,269.74x = 2,416,302.73
  5. Step 5: Solve for x
    x = 2,416,302.73/2,269.74
  6. Step 6: Final answer
    x = 1,064.57

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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.