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Finding the Fourth Proportional to 2,626.98, 3,941.00 and 983.54

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Solution

The fourth proportional to 2,626.98, 3,941.00 and 983.54 is: 1,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.98 : 3,941.00 = 983.54 : x
  2. Step 2: Convert to fraction form
    2,626.98/3,941.00 = 983.54/x
  3. Step 3: Cross multiply
    2,626.98x = 3,941.00 × 983.54
  4. Step 4: Simplify right side
    2,626.98x = 3,876,145.30
  5. Step 5: Solve for x
    x = 3,876,145.30/2,626.98
  6. Step 6: Final answer
    x = 1,475.51

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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.