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Finding the Fourth Proportional to 3,041.45, 4,197.89 and 1,863.17

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Solution

The fourth proportional to 3,041.45, 4,197.89 and 1,863.17 is: 2,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.45 : 4,197.89 = 1,863.17 : x
  2. Step 2: Convert to fraction form
    3,041.45/4,197.89 = 1,863.17/x
  3. Step 3: Cross multiply
    3,041.45x = 4,197.89 × 1,863.17
  4. Step 4: Simplify right side
    3,041.45x = 7,821,366.38
  5. Step 5: Solve for x
    x = 7,821,366.38/3,041.45
  6. Step 6: Final answer
    x = 2,571.60

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Why These Related Problems?

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