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Finding the Fourth Proportional to 2,824.84, 4,235.37 and 1,091.44

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Solution

The fourth proportional to 2,824.84, 4,235.37 and 1,091.44 is: 1,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.84 : 4,235.37 = 1,091.44 : x
  2. Step 2: Convert to fraction form
    2,824.84/4,235.37 = 1,091.44/x
  3. Step 3: Cross multiply
    2,824.84x = 4,235.37 × 1,091.44
  4. Step 4: Simplify right side
    2,824.84x = 4,622,652.23
  5. Step 5: Solve for x
    x = 4,622,652.23/2,824.84
  6. Step 6: Final answer
    x = 1,636.43

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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.