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Finding the Fourth Proportional to 2,080.54, 3,122.06 and 830.91

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Solution

The fourth proportional to 2,080.54, 3,122.06 and 830.91 is: 1,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.54 : 3,122.06 = 830.91 : x
  2. Step 2: Convert to fraction form
    2,080.54/3,122.06 = 830.91/x
  3. Step 3: Cross multiply
    2,080.54x = 3,122.06 × 830.91
  4. Step 4: Simplify right side
    2,080.54x = 2,594,146.72
  5. Step 5: Solve for x
    x = 2,594,146.72/2,080.54
  6. Step 6: Final answer
    x = 1,246.86

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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.