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Finding the Fourth Proportional to 2,529.94, 3,794.00 and 1,069.21

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Solution

The fourth proportional to 2,529.94, 3,794.00 and 1,069.21 is: 1,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.94 : 3,794.00 = 1,069.21 : x
  2. Step 2: Convert to fraction form
    2,529.94/3,794.00 = 1,069.21/x
  3. Step 3: Cross multiply
    2,529.94x = 3,794.00 × 1,069.21
  4. Step 4: Simplify right side
    2,529.94x = 4,056,560.80
  5. Step 5: Solve for x
    x = 4,056,560.80/2,529.94
  6. Step 6: Final answer
    x = 1,603.42

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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.