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Finding the Fourth Proportional to 2,269.57, 3,404.68 and 709.71

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Solution

The fourth proportional to 2,269.57, 3,404.68 and 709.71 is: 1,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.57 : 3,404.68 = 709.71 : x
  2. Step 2: Convert to fraction form
    2,269.57/3,404.68 = 709.71/x
  3. Step 3: Cross multiply
    2,269.57x = 3,404.68 × 709.71
  4. Step 4: Simplify right side
    2,269.57x = 2,416,344.04
  5. Step 5: Solve for x
    x = 2,416,344.04/2,269.57
  6. Step 6: Final answer
    x = 1,064.67

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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.