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Finding the Fourth Proportional to 3,162.70, 4,744.68 and 1,601.47

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Solution

The fourth proportional to 3,162.70, 4,744.68 and 1,601.47 is: 2,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.70 : 4,744.68 = 1,601.47 : x
  2. Step 2: Convert to fraction form
    3,162.70/4,744.68 = 1,601.47/x
  3. Step 3: Cross multiply
    3,162.70x = 4,744.68 × 1,601.47
  4. Step 4: Simplify right side
    3,162.70x = 7,598,462.68
  5. Step 5: Solve for x
    x = 7,598,462.68/3,162.70
  6. Step 6: Final answer
    x = 2,402.52

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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.