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Finding the Fourth Proportional to 2,169.45, 3,254.68 and 708.62

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Solution

The fourth proportional to 2,169.45, 3,254.68 and 708.62 is: 1,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.45 : 3,254.68 = 708.62 : x
  2. Step 2: Convert to fraction form
    2,169.45/3,254.68 = 708.62/x
  3. Step 3: Cross multiply
    2,169.45x = 3,254.68 × 708.62
  4. Step 4: Simplify right side
    2,169.45x = 2,306,331.34
  5. Step 5: Solve for x
    x = 2,306,331.34/2,169.45
  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.