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Finding the Fourth Proportional to 2,923.22, 4,383.20 and 1,189.82

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Solution

The fourth proportional to 2,923.22, 4,383.20 and 1,189.82 is: 1,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.22 : 4,383.20 = 1,189.82 : x
  2. Step 2: Convert to fraction form
    2,923.22/4,383.20 = 1,189.82/x
  3. Step 3: Cross multiply
    2,923.22x = 4,383.20 × 1,189.82
  4. Step 4: Simplify right side
    2,923.22x = 5,215,219.02
  5. Step 5: Solve for x
    x = 5,215,219.02/2,923.22
  6. Step 6: Final answer
    x = 1,784.07

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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.