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Finding the Fourth Proportional to 2,626.90, 3,940.67 and 1,066.57

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Solution

The fourth proportional to 2,626.90, 3,940.67 and 1,066.57 is: 1,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.90 : 3,940.67 = 1,066.57 : x
  2. Step 2: Convert to fraction form
    2,626.90/3,940.67 = 1,066.57/x
  3. Step 3: Cross multiply
    2,626.90x = 3,940.67 × 1,066.57
  4. Step 4: Simplify right side
    2,626.90x = 4,202,995.07
  5. Step 5: Solve for x
    x = 4,202,995.07/2,626.90
  6. Step 6: Final answer
    x = 1,599.98

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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.