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Finding the Fourth Proportional to 2,633.97, 3,633.06 and 1,794.34

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Solution

The fourth proportional to 2,633.97, 3,633.06 and 1,794.34 is: 2,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.97 : 3,633.06 = 1,794.34 : x
  2. Step 2: Convert to fraction form
    2,633.97/3,633.06 = 1,794.34/x
  3. Step 3: Cross multiply
    2,633.97x = 3,633.06 × 1,794.34
  4. Step 4: Simplify right side
    2,633.97x = 6,518,956.15
  5. Step 5: Solve for x
    x = 6,518,956.15/2,633.97
  6. Step 6: Final answer
    x = 2,474.95

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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.