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Finding the Fourth Proportional to 2,004.03, 3,005.94 and 772.02

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Solution

The fourth proportional to 2,004.03, 3,005.94 and 772.02 is: 1,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.03 : 3,005.94 = 772.02 : x
  2. Step 2: Convert to fraction form
    2,004.03/3,005.94 = 772.02/x
  3. Step 3: Cross multiply
    2,004.03x = 3,005.94 × 772.02
  4. Step 4: Simplify right side
    2,004.03x = 2,320,645.80
  5. Step 5: Solve for x
    x = 2,320,645.80/2,004.03
  6. Step 6: Final answer
    x = 1,157.99

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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.