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Finding the Fourth Proportional to 2,168.77, 2,993.39 and 1,695.73

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Solution

The fourth proportional to 2,168.77, 2,993.39 and 1,695.73 is: 2,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.77 : 2,993.39 = 1,695.73 : x
  2. Step 2: Convert to fraction form
    2,168.77/2,993.39 = 1,695.73/x
  3. Step 3: Cross multiply
    2,168.77x = 2,993.39 × 1,695.73
  4. Step 4: Simplify right side
    2,168.77x = 5,075,981.22
  5. Step 5: Solve for x
    x = 5,075,981.22/2,168.77
  6. Step 6: Final answer
    x = 2,340.49

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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.