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Finding the Fourth Proportional to 3,041.63, 4,197.47 and 1,863.48

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Solution

The fourth proportional to 3,041.63, 4,197.47 and 1,863.48 is: 2,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.63 : 4,197.47 = 1,863.48 : x
  2. Step 2: Convert to fraction form
    3,041.63/4,197.47 = 1,863.48/x
  3. Step 3: Cross multiply
    3,041.63x = 4,197.47 × 1,863.48
  4. Step 4: Simplify right side
    3,041.63x = 7,821,892.08
  5. Step 5: Solve for x
    x = 7,821,892.08/3,041.63
  6. Step 6: Final answer
    x = 2,571.62

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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.