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Finding the Fourth Proportional to 2,188.13, 3,022.07 and 1,696.73

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Solution

The fourth proportional to 2,188.13, 3,022.07 and 1,696.73 is: 2,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.13 : 3,022.07 = 1,696.73 : x
  2. Step 2: Convert to fraction form
    2,188.13/3,022.07 = 1,696.73/x
  3. Step 3: Cross multiply
    2,188.13x = 3,022.07 × 1,696.73
  4. Step 4: Simplify right side
    2,188.13x = 5,127,613.24
  5. Step 5: Solve for x
    x = 5,127,613.24/2,188.13
  6. Step 6: Final answer
    x = 2,343.38

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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.