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Finding the Fourth Proportional to 2,794.30, 4,172.31 and 2,383.22

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Solution

The fourth proportional to 2,794.30, 4,172.31 and 2,383.22 is: 3,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.30 : 4,172.31 = 2,383.22 : x
  2. Step 2: Convert to fraction form
    2,794.30/4,172.31 = 2,383.22/x
  3. Step 3: Cross multiply
    2,794.30x = 4,172.31 × 2,383.22
  4. Step 4: Simplify right side
    2,794.30x = 9,943,543.07
  5. Step 5: Solve for x
    x = 9,943,543.07/2,794.30
  6. Step 6: Final answer
    x = 3,558.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.