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Finding the Fourth Proportional to 2,450.98, 3,670.14 and 1,626.66

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Solution

The fourth proportional to 2,450.98, 3,670.14 and 1,626.66 is: 2,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.98 : 3,670.14 = 1,626.66 : x
  2. Step 2: Convert to fraction form
    2,450.98/3,670.14 = 1,626.66/x
  3. Step 3: Cross multiply
    2,450.98x = 3,670.14 × 1,626.66
  4. Step 4: Simplify right side
    2,450.98x = 5,970,069.93
  5. Step 5: Solve for x
    x = 5,970,069.93/2,450.98
  6. Step 6: Final answer
    x = 2,435.79

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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.