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Finding the Fourth Proportional to 3,019.77, 4,166.82 and 1,693.17

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Solution

The fourth proportional to 3,019.77, 4,166.82 and 1,693.17 is: 2,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.77 : 4,166.82 = 1,693.17 : x
  2. Step 2: Convert to fraction form
    3,019.77/4,166.82 = 1,693.17/x
  3. Step 3: Cross multiply
    3,019.77x = 4,166.82 × 1,693.17
  4. Step 4: Simplify right side
    3,019.77x = 7,055,134.62
  5. Step 5: Solve for x
    x = 7,055,134.62/3,019.77
  6. Step 6: Final answer
    x = 2,336.32

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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.