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Finding the Fourth Proportional to 2,604.22, 3,908.06 and 2,431.23

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Solution

The fourth proportional to 2,604.22, 3,908.06 and 2,431.23 is: 3,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.22 : 3,908.06 = 2,431.23 : x
  2. Step 2: Convert to fraction form
    2,604.22/3,908.06 = 2,431.23/x
  3. Step 3: Cross multiply
    2,604.22x = 3,908.06 × 2,431.23
  4. Step 4: Simplify right side
    2,604.22x = 9,501,392.71
  5. Step 5: Solve for x
    x = 9,501,392.71/2,604.22
  6. Step 6: Final answer
    x = 3,648.46

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