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Finding the Fourth Proportional to 2,196.44, 3,293.85 and 1,852.19

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Solution

The fourth proportional to 2,196.44, 3,293.85 and 1,852.19 is: 2,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.44 : 3,293.85 = 1,852.19 : x
  2. Step 2: Convert to fraction form
    2,196.44/3,293.85 = 1,852.19/x
  3. Step 3: Cross multiply
    2,196.44x = 3,293.85 × 1,852.19
  4. Step 4: Simplify right side
    2,196.44x = 6,100,836.03
  5. Step 5: Solve for x
    x = 6,100,836.03/2,196.44
  6. Step 6: Final answer
    x = 2,777.60

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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.