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Finding the Fourth Proportional to 2,313.76, 3,466.92 and 1,849.12

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Solution

The fourth proportional to 2,313.76, 3,466.92 and 1,849.12 is: 2,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.76 : 3,466.92 = 1,849.12 : x
  2. Step 2: Convert to fraction form
    2,313.76/3,466.92 = 1,849.12/x
  3. Step 3: Cross multiply
    2,313.76x = 3,466.92 × 1,849.12
  4. Step 4: Simplify right side
    2,313.76x = 6,410,751.11
  5. Step 5: Solve for x
    x = 6,410,751.11/2,313.76
  6. Step 6: Final answer
    x = 2,770.71

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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.