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Finding the Fourth Proportional to 3,462.81, 5,194.17 and 1,612.89

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Solution

The fourth proportional to 3,462.81, 5,194.17 and 1,612.89 is: 2,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.81 : 5,194.17 = 1,612.89 : x
  2. Step 2: Convert to fraction form
    3,462.81/5,194.17 = 1,612.89/x
  3. Step 3: Cross multiply
    3,462.81x = 5,194.17 × 1,612.89
  4. Step 4: Simplify right side
    3,462.81x = 8,377,624.85
  5. Step 5: Solve for x
    x = 8,377,624.85/3,462.81
  6. Step 6: Final answer
    x = 2,419.31

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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.