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Finding the Fourth Proportional to 2,919.23, 4,378.81 and 839.28

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Solution

The fourth proportional to 2,919.23, 4,378.81 and 839.28 is: 1,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.23 : 4,378.81 = 839.28 : x
  2. Step 2: Convert to fraction form
    2,919.23/4,378.81 = 839.28/x
  3. Step 3: Cross multiply
    2,919.23x = 4,378.81 × 839.28
  4. Step 4: Simplify right side
    2,919.23x = 3,675,047.66
  5. Step 5: Solve for x
    x = 3,675,047.66/2,919.23
  6. Step 6: Final answer
    x = 1,258.91

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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.