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Finding the Fourth Proportional to 2,052.91, 3,079.70 and 820.36

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Solution

The fourth proportional to 2,052.91, 3,079.70 and 820.36 is: 1,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.91 : 3,079.70 = 820.36 : x
  2. Step 2: Convert to fraction form
    2,052.91/3,079.70 = 820.36/x
  3. Step 3: Cross multiply
    2,052.91x = 3,079.70 × 820.36
  4. Step 4: Simplify right side
    2,052.91x = 2,526,462.69
  5. Step 5: Solve for x
    x = 2,526,462.69/2,052.91
  6. Step 6: Final answer
    x = 1,230.67

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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.