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Finding the Fourth Proportional to 3,121.99, 4,308.48 and 1,796.13

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Solution

The fourth proportional to 3,121.99, 4,308.48 and 1,796.13 is: 2,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.99 : 4,308.48 = 1,796.13 : x
  2. Step 2: Convert to fraction form
    3,121.99/4,308.48 = 1,796.13/x
  3. Step 3: Cross multiply
    3,121.99x = 4,308.48 × 1,796.13
  4. Step 4: Simplify right side
    3,121.99x = 7,738,590.18
  5. Step 5: Solve for x
    x = 7,738,590.18/3,121.99
  6. Step 6: Final answer
    x = 2,478.74

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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.