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Finding the Fourth Proportional to 3,109.11, 4,663.45 and 919.27

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Solution

The fourth proportional to 3,109.11, 4,663.45 and 919.27 is: 1,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.11 : 4,663.45 = 919.27 : x
  2. Step 2: Convert to fraction form
    3,109.11/4,663.45 = 919.27/x
  3. Step 3: Cross multiply
    3,109.11x = 4,663.45 × 919.27
  4. Step 4: Simplify right side
    3,109.11x = 4,286,969.68
  5. Step 5: Solve for x
    x = 4,286,969.68/3,109.11
  6. Step 6: Final answer
    x = 1,378.84

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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.