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Finding the Fourth Proportional to 3,122.02, 4,308.38 and 1,795.73

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Solution

The fourth proportional to 3,122.02, 4,308.38 and 1,795.73 is: 2,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.02 : 4,308.38 = 1,795.73 : x
  2. Step 2: Convert to fraction form
    3,122.02/4,308.38 = 1,795.73/x
  3. Step 3: Cross multiply
    3,122.02x = 4,308.38 × 1,795.73
  4. Step 4: Simplify right side
    3,122.02x = 7,736,675.30
  5. Step 5: Solve for x
    x = 7,736,675.30/3,122.02
  6. Step 6: Final answer
    x = 2,478.10

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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.