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Finding the Fourth Proportional to 2,321.76, 3,204.02 and 1,273.84

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Solution

The fourth proportional to 2,321.76, 3,204.02 and 1,273.84 is: 1,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.76 : 3,204.02 = 1,273.84 : x
  2. Step 2: Convert to fraction form
    2,321.76/3,204.02 = 1,273.84/x
  3. Step 3: Cross multiply
    2,321.76x = 3,204.02 × 1,273.84
  4. Step 4: Simplify right side
    2,321.76x = 4,081,408.84
  5. Step 5: Solve for x
    x = 4,081,408.84/2,321.76
  6. Step 6: Final answer
    x = 1,757.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.