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Finding the Fourth Proportional to 2,634.93, 3,634.67 and 2,138.00

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Solution

The fourth proportional to 2,634.93, 3,634.67 and 2,138.00 is: 2,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.93 : 3,634.67 = 2,138.00 : x
  2. Step 2: Convert to fraction form
    2,634.93/3,634.67 = 2,138.00/x
  3. Step 3: Cross multiply
    2,634.93x = 3,634.67 × 2,138.00
  4. Step 4: Simplify right side
    2,634.93x = 7,770,911.63
  5. Step 5: Solve for x
    x = 7,770,911.63/2,634.93
  6. Step 6: Final answer
    x = 2,949.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.