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Finding the Fourth Proportional to 3,122.88, 4,308.54 and 1,796.10

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Solution

The fourth proportional to 3,122.88, 4,308.54 and 1,796.10 is: 2,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.88 : 4,308.54 = 1,796.10 : x
  2. Step 2: Convert to fraction form
    3,122.88/4,308.54 = 1,796.10/x
  3. Step 3: Cross multiply
    3,122.88x = 4,308.54 × 1,796.10
  4. Step 4: Simplify right side
    3,122.88x = 7,738,568.69
  5. Step 5: Solve for x
    x = 7,738,568.69/3,122.88
  6. Step 6: Final answer
    x = 2,478.02

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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.