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Finding the Fourth Proportional to 2,618.31, 3,922.07 and 2,099.19

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Solution

The fourth proportional to 2,618.31, 3,922.07 and 2,099.19 is: 3,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.31 : 3,922.07 = 2,099.19 : x
  2. Step 2: Convert to fraction form
    2,618.31/3,922.07 = 2,099.19/x
  3. Step 3: Cross multiply
    2,618.31x = 3,922.07 × 2,099.19
  4. Step 4: Simplify right side
    2,618.31x = 8,233,159.63
  5. Step 5: Solve for x
    x = 8,233,159.63/2,618.31
  6. Step 6: Final answer
    x = 3,144.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.