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Finding the Fourth Proportional to 2,819.72, 3,887.49 and 2,313.72

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Solution

The fourth proportional to 2,819.72, 3,887.49 and 2,313.72 is: 3,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.72 : 3,887.49 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    2,819.72/3,887.49 = 2,313.72/x
  3. Step 3: Cross multiply
    2,819.72x = 3,887.49 × 2,313.72
  4. Step 4: Simplify right side
    2,819.72x = 8,994,551.79
  5. Step 5: Solve for x
    x = 8,994,551.79/2,819.72
  6. Step 6: Final answer
    x = 3,189.87

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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.