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Finding the Fourth Proportional to 2,638.94, 3,976 and 2,389.08

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Solution

The fourth proportional to 2,638.94, 3,976 and 2,389.08 is: 3,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.94 : 3,976 = 2,389.08 : x
  2. Step 2: Convert to fraction form
    2,638.94/3,976 = 2,389.08/x
  3. Step 3: Cross multiply
    2,638.94x = 3,976 × 2,389.08
  4. Step 4: Simplify right side
    2,638.94x = 9,498,982.08
  5. Step 5: Solve for x
    x = 9,498,982.08/2,638.94
  6. Step 6: Final answer
    x = 3,599.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.