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Finding the Fourth Proportional to 2,626.97, 3,941.21 and 1,066.16

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Solution

The fourth proportional to 2,626.97, 3,941.21 and 1,066.16 is: 1,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.97 : 3,941.21 = 1,066.16 : x
  2. Step 2: Convert to fraction form
    2,626.97/3,941.21 = 1,066.16/x
  3. Step 3: Cross multiply
    2,626.97x = 3,941.21 × 1,066.16
  4. Step 4: Simplify right side
    2,626.97x = 4,201,972.97
  5. Step 5: Solve for x
    x = 4,201,972.97/2,626.97
  6. Step 6: Final answer
    x = 1,599.55

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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.