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Finding the Fourth Proportional to 2,236.01, 3,360.09 and 1,196.78

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Solution

The fourth proportional to 2,236.01, 3,360.09 and 1,196.78 is: 1,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.01 : 3,360.09 = 1,196.78 : x
  2. Step 2: Convert to fraction form
    2,236.01/3,360.09 = 1,196.78/x
  3. Step 3: Cross multiply
    2,236.01x = 3,360.09 × 1,196.78
  4. Step 4: Simplify right side
    2,236.01x = 4,021,288.51
  5. Step 5: Solve for x
    x = 4,021,288.51/2,236.01
  6. Step 6: Final answer
    x = 1,798.42

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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.