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Finding the Fourth Proportional to 3,119.43, 4,305.21 and 1,969.71

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Solution

The fourth proportional to 3,119.43, 4,305.21 and 1,969.71 is: 2,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.43 : 4,305.21 = 1,969.71 : x
  2. Step 2: Convert to fraction form
    3,119.43/4,305.21 = 1,969.71/x
  3. Step 3: Cross multiply
    3,119.43x = 4,305.21 × 1,969.71
  4. Step 4: Simplify right side
    3,119.43x = 8,480,015.19
  5. Step 5: Solve for x
    x = 8,480,015.19/3,119.43
  6. Step 6: Final answer
    x = 2,718.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.