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Finding the Fourth Proportional to 2,267.66, 3,401.58 and 708.71

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Solution

The fourth proportional to 2,267.66, 3,401.58 and 708.71 is: 1,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.66 : 3,401.58 = 708.71 : x
  2. Step 2: Convert to fraction form
    2,267.66/3,401.58 = 708.71/x
  3. Step 3: Cross multiply
    2,267.66x = 3,401.58 × 708.71
  4. Step 4: Simplify right side
    2,267.66x = 2,410,733.76
  5. Step 5: Solve for x
    x = 2,410,733.76/2,267.66
  6. Step 6: Final answer
    x = 1,063.09

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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.