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Finding the Fourth Proportional to 1,601.46, 2,401.65 and 820.62

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Solution

The fourth proportional to 1,601.46, 2,401.65 and 820.62 is: 1,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.46 : 2,401.65 = 820.62 : x
  2. Step 2: Convert to fraction form
    1,601.46/2,401.65 = 820.62/x
  3. Step 3: Cross multiply
    1,601.46x = 2,401.65 × 820.62
  4. Step 4: Simplify right side
    1,601.46x = 1,970,842.02
  5. Step 5: Solve for x
    x = 1,970,842.02/1,601.46
  6. Step 6: Final answer
    x = 1,230.65

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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.