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Finding the Fourth Proportional to 2,765.49, 3,813.66 and 2,346.99

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Solution

The fourth proportional to 2,765.49, 3,813.66 and 2,346.99 is: 3,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.49 : 3,813.66 = 2,346.99 : x
  2. Step 2: Convert to fraction form
    2,765.49/3,813.66 = 2,346.99/x
  3. Step 3: Cross multiply
    2,765.49x = 3,813.66 × 2,346.99
  4. Step 4: Simplify right side
    2,765.49x = 8,950,621.88
  5. Step 5: Solve for x
    x = 8,950,621.88/2,765.49
  6. Step 6: Final answer
    x = 3,236.54

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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.