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Finding the Fourth Proportional to 2,529.06, 3,794.03 and 774.02

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Solution

The fourth proportional to 2,529.06, 3,794.03 and 774.02 is: 1,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.06 : 3,794.03 = 774.02 : x
  2. Step 2: Convert to fraction form
    2,529.06/3,794.03 = 774.02/x
  3. Step 3: Cross multiply
    2,529.06x = 3,794.03 × 774.02
  4. Step 4: Simplify right side
    2,529.06x = 2,936,668.36
  5. Step 5: Solve for x
    x = 2,936,668.36/2,529.06
  6. Step 6: Final answer
    x = 1,161.17

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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.