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Finding the Fourth Proportional to 2,167.77, 2,991.36 and 1,223.49

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Solution

The fourth proportional to 2,167.77, 2,991.36 and 1,223.49 is: 1,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.77 : 2,991.36 = 1,223.49 : x
  2. Step 2: Convert to fraction form
    2,167.77/2,991.36 = 1,223.49/x
  3. Step 3: Cross multiply
    2,167.77x = 2,991.36 × 1,223.49
  4. Step 4: Simplify right side
    2,167.77x = 3,659,899.05
  5. Step 5: Solve for x
    x = 3,659,899.05/2,167.77
  6. Step 6: Final answer
    x = 1,688.32

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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.