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Finding the Fourth Proportional to 2,626.63, 3,940.61 and 983.18

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Solution

The fourth proportional to 2,626.63, 3,940.61 and 983.18 is: 1,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.63 : 3,940.61 = 983.18 : x
  2. Step 2: Convert to fraction form
    2,626.63/3,940.61 = 983.18/x
  3. Step 3: Cross multiply
    2,626.63x = 3,940.61 × 983.18
  4. Step 4: Simplify right side
    2,626.63x = 3,874,333.88
  5. Step 5: Solve for x
    x = 3,874,333.88/2,626.63
  6. Step 6: Final answer
    x = 1,475.02

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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.