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Finding the Fourth Proportional to 2,450.06, 3,675.80 and 718.69

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Solution

The fourth proportional to 2,450.06, 3,675.80 and 718.69 is: 1,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.06 : 3,675.80 = 718.69 : x
  2. Step 2: Convert to fraction form
    2,450.06/3,675.80 = 718.69/x
  3. Step 3: Cross multiply
    2,450.06x = 3,675.80 × 718.69
  4. Step 4: Simplify right side
    2,450.06x = 2,641,760.70
  5. Step 5: Solve for x
    x = 2,641,760.70/2,450.06
  6. Step 6: Final answer
    x = 1,078.24

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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.