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Finding the Fourth Proportional to 3,122.40, 4,308.87 and 1,796.12

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Solution

The fourth proportional to 3,122.40, 4,308.87 and 1,796.12 is: 2,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.40 : 4,308.87 = 1,796.12 : x
  2. Step 2: Convert to fraction form
    3,122.40/4,308.87 = 1,796.12/x
  3. Step 3: Cross multiply
    3,122.40x = 4,308.87 × 1,796.12
  4. Step 4: Simplify right side
    3,122.40x = 7,739,247.58
  5. Step 5: Solve for x
    x = 7,739,247.58/3,122.40
  6. Step 6: Final answer
    x = 2,478.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.