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Finding the Fourth Proportional to 3,176.77, 4,765.37 and 1,096.99

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Solution

The fourth proportional to 3,176.77, 4,765.37 and 1,096.99 is: 1,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.77 : 4,765.37 = 1,096.99 : x
  2. Step 2: Convert to fraction form
    3,176.77/4,765.37 = 1,096.99/x
  3. Step 3: Cross multiply
    3,176.77x = 4,765.37 × 1,096.99
  4. Step 4: Simplify right side
    3,176.77x = 5,227,563.24
  5. Step 5: Solve for x
    x = 5,227,563.24/3,176.77
  6. Step 6: Final answer
    x = 1,645.56

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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.