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Finding the Fourth Proportional to 2,820.92, 3,893.10 and 1,642.36

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Solution

The fourth proportional to 2,820.92, 3,893.10 and 1,642.36 is: 2,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.92 : 3,893.10 = 1,642.36 : x
  2. Step 2: Convert to fraction form
    2,820.92/3,893.10 = 1,642.36/x
  3. Step 3: Cross multiply
    2,820.92x = 3,893.10 × 1,642.36
  4. Step 4: Simplify right side
    2,820.92x = 6,393,871.72
  5. Step 5: Solve for x
    x = 6,393,871.72/2,820.92
  6. Step 6: Final answer
    x = 2,266.59

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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.