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Finding the Fourth Proportional to 3,110.24, 4,665.90 and 919.10

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Solution

The fourth proportional to 3,110.24, 4,665.90 and 919.10 is: 1,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.24 : 4,665.90 = 919.10 : x
  2. Step 2: Convert to fraction form
    3,110.24/4,665.90 = 919.10/x
  3. Step 3: Cross multiply
    3,110.24x = 4,665.90 × 919.10
  4. Step 4: Simplify right side
    3,110.24x = 4,288,428.69
  5. Step 5: Solve for x
    x = 4,288,428.69/3,110.24
  6. Step 6: Final answer
    x = 1,378.81

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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.