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Finding the Fourth Proportional to 2,053.52, 3,079.92 and 820.59

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Solution

The fourth proportional to 2,053.52, 3,079.92 and 820.59 is: 1,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.52 : 3,079.92 = 820.59 : x
  2. Step 2: Convert to fraction form
    2,053.52/3,079.92 = 820.59/x
  3. Step 3: Cross multiply
    2,053.52x = 3,079.92 × 820.59
  4. Step 4: Simplify right side
    2,053.52x = 2,527,351.55
  5. Step 5: Solve for x
    x = 2,527,351.55/2,053.52
  6. Step 6: Final answer
    x = 1,230.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.