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Finding the Fourth Proportional to 2,196.81, 3,293.55 and 1,892.25

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Solution

The fourth proportional to 2,196.81, 3,293.55 and 1,892.25 is: 2,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.81 : 3,293.55 = 1,892.25 : x
  2. Step 2: Convert to fraction form
    2,196.81/3,293.55 = 1,892.25/x
  3. Step 3: Cross multiply
    2,196.81x = 3,293.55 × 1,892.25
  4. Step 4: Simplify right side
    2,196.81x = 6,232,219.99
  5. Step 5: Solve for x
    x = 6,232,219.99/2,196.81
  6. Step 6: Final answer
    x = 2,836.94

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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.