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Finding the Fourth Proportional to 1,571.50, 2,366.41 and 1,163.53

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Solution

The fourth proportional to 1,571.50, 2,366.41 and 1,163.53 is: 1,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.50 : 2,366.41 = 1,163.53 : x
  2. Step 2: Convert to fraction form
    1,571.50/2,366.41 = 1,163.53/x
  3. Step 3: Cross multiply
    1,571.50x = 2,366.41 × 1,163.53
  4. Step 4: Simplify right side
    1,571.50x = 2,753,389.03
  5. Step 5: Solve for x
    x = 2,753,389.03/1,571.50
  6. Step 6: Final answer
    x = 1,752.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.