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Finding the Fourth Proportional to 2,450.06, 3,673.94 and 718.34

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Solution

The fourth proportional to 2,450.06, 3,673.94 and 718.34 is: 1,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.06 : 3,673.94 = 718.34 : x
  2. Step 2: Convert to fraction form
    2,450.06/3,673.94 = 718.34/x
  3. Step 3: Cross multiply
    2,450.06x = 3,673.94 × 718.34
  4. Step 4: Simplify right side
    2,450.06x = 2,639,138.06
  5. Step 5: Solve for x
    x = 2,639,138.06/2,450.06
  6. Step 6: Final answer
    x = 1,077.17

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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.