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Finding the Fourth Proportional to 2,820.98, 3,893.79 and 1,826.24

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Solution

The fourth proportional to 2,820.98, 3,893.79 and 1,826.24 is: 2,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.98 : 3,893.79 = 1,826.24 : x
  2. Step 2: Convert to fraction form
    2,820.98/3,893.79 = 1,826.24/x
  3. Step 3: Cross multiply
    2,820.98x = 3,893.79 × 1,826.24
  4. Step 4: Simplify right side
    2,820.98x = 7,110,975.58
  5. Step 5: Solve for x
    x = 7,110,975.58/2,820.98
  6. Step 6: Final answer
    x = 2,520.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.