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Finding the Fourth Proportional to 2,626.55, 3,939.82 and 983.87

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Solution

The fourth proportional to 2,626.55, 3,939.82 and 983.87 is: 1,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.55 : 3,939.82 = 983.87 : x
  2. Step 2: Convert to fraction form
    2,626.55/3,939.82 = 983.87/x
  3. Step 3: Cross multiply
    2,626.55x = 3,939.82 × 983.87
  4. Step 4: Simplify right side
    2,626.55x = 3,876,267.01
  5. Step 5: Solve for x
    x = 3,876,267.01/2,626.55
  6. Step 6: Final answer
    x = 1,475.80

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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.