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Finding the Fourth Proportional to 2,450.26, 3,675.19 and 718.66

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Solution

The fourth proportional to 2,450.26, 3,675.19 and 718.66 is: 1,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.26 : 3,675.19 = 718.66 : x
  2. Step 2: Convert to fraction form
    2,450.26/3,675.19 = 718.66/x
  3. Step 3: Cross multiply
    2,450.26x = 3,675.19 × 718.66
  4. Step 4: Simplify right side
    2,450.26x = 2,641,212.05
  5. Step 5: Solve for x
    x = 2,641,212.05/2,450.26
  6. Step 6: Final answer
    x = 1,077.93

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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.