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Finding the Fourth Proportional to 2,203.53, 3,022.74 and 2,084.36

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Solution

The fourth proportional to 2,203.53, 3,022.74 and 2,084.36 is: 2,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.53 : 3,022.74 = 2,084.36 : x
  2. Step 2: Convert to fraction form
    2,203.53/3,022.74 = 2,084.36/x
  3. Step 3: Cross multiply
    2,203.53x = 3,022.74 × 2,084.36
  4. Step 4: Simplify right side
    2,203.53x = 6,300,478.35
  5. Step 5: Solve for x
    x = 6,300,478.35/2,203.53
  6. Step 6: Final answer
    x = 2,859.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.