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Finding the Fourth Proportional to 2,612.83, 3,920.26 and 1,150.96

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Solution

The fourth proportional to 2,612.83, 3,920.26 and 1,150.96 is: 1,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.83 : 3,920.26 = 1,150.96 : x
  2. Step 2: Convert to fraction form
    2,612.83/3,920.26 = 1,150.96/x
  3. Step 3: Cross multiply
    2,612.83x = 3,920.26 × 1,150.96
  4. Step 4: Simplify right side
    2,612.83x = 4,512,062.45
  5. Step 5: Solve for x
    x = 4,512,062.45/2,612.83
  6. Step 6: Final answer
    x = 1,726.89

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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.