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Finding the Fourth Proportional to 3,462.70, 5,195.94 and 1,614.68

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Solution

The fourth proportional to 3,462.70, 5,195.94 and 1,614.68 is: 2,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.70 : 5,195.94 = 1,614.68 : x
  2. Step 2: Convert to fraction form
    3,462.70/5,195.94 = 1,614.68/x
  3. Step 3: Cross multiply
    3,462.70x = 5,195.94 × 1,614.68
  4. Step 4: Simplify right side
    3,462.70x = 8,389,780.40
  5. Step 5: Solve for x
    x = 8,389,780.40/3,462.70
  6. Step 6: Final answer
    x = 2,422.90

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1.5x scale

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.