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Finding the Fourth Proportional to 1,969.80, 2,717.79 and 1,571.28

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Solution

The fourth proportional to 1,969.80, 2,717.79 and 1,571.28 is: 2,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.80 : 2,717.79 = 1,571.28 : x
  2. Step 2: Convert to fraction form
    1,969.80/2,717.79 = 1,571.28/x
  3. Step 3: Cross multiply
    1,969.80x = 2,717.79 × 1,571.28
  4. Step 4: Simplify right side
    1,969.80x = 4,270,409.07
  5. Step 5: Solve for x
    x = 4,270,409.07/1,969.80
  6. Step 6: Final answer
    x = 2,167.94

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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.