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Finding the Fourth Proportional to 2,074.19, 3,110.47 and 919.13

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Solution

The fourth proportional to 2,074.19, 3,110.47 and 919.13 is: 1,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.19 : 3,110.47 = 919.13 : x
  2. Step 2: Convert to fraction form
    2,074.19/3,110.47 = 919.13/x
  3. Step 3: Cross multiply
    2,074.19x = 3,110.47 × 919.13
  4. Step 4: Simplify right side
    2,074.19x = 2,858,906.14
  5. Step 5: Solve for x
    x = 2,858,906.14/2,074.19
  6. Step 6: Final answer
    x = 1,378.33

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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.