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Finding the Fourth Proportional to 3,041.44, 4,197.63 and 1,863.16

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Solution

The fourth proportional to 3,041.44, 4,197.63 and 1,863.16 is: 2,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.44 : 4,197.63 = 1,863.16 : x
  2. Step 2: Convert to fraction form
    3,041.44/4,197.63 = 1,863.16/x
  3. Step 3: Cross multiply
    3,041.44x = 4,197.63 × 1,863.16
  4. Step 4: Simplify right side
    3,041.44x = 7,820,856.31
  5. Step 5: Solve for x
    x = 7,820,856.31/3,041.44
  6. Step 6: Final answer
    x = 2,571.43

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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.