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Finding the Fourth Proportional to 1,571.82, 2,366.88 and 1,163.82

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Solution

The fourth proportional to 1,571.82, 2,366.88 and 1,163.82 is: 1,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.82 : 2,366.88 = 1,163.82 : x
  2. Step 2: Convert to fraction form
    1,571.82/2,366.88 = 1,163.82/x
  3. Step 3: Cross multiply
    1,571.82x = 2,366.88 × 1,163.82
  4. Step 4: Simplify right side
    1,571.82x = 2,754,622.28
  5. Step 5: Solve for x
    x = 2,754,622.28/1,571.82
  6. Step 6: Final answer
    x = 1,752.50

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1.5x scale

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.