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Finding the Fourth Proportional to 2,236.47, 3,353.93 and 919.85

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Solution

The fourth proportional to 2,236.47, 3,353.93 and 919.85 is: 1,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.47 : 3,353.93 = 919.85 : x
  2. Step 2: Convert to fraction form
    2,236.47/3,353.93 = 919.85/x
  3. Step 3: Cross multiply
    2,236.47x = 3,353.93 × 919.85
  4. Step 4: Simplify right side
    2,236.47x = 3,085,091.14
  5. Step 5: Solve for x
    x = 3,085,091.14/2,236.47
  6. Step 6: Final answer
    x = 1,379.45

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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.