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Finding the Fourth Proportional to 2,003.02, 3,004.11 and 770.60

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Solution

The fourth proportional to 2,003.02, 3,004.11 and 770.60 is: 1,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.02 : 3,004.11 = 770.60 : x
  2. Step 2: Convert to fraction form
    2,003.02/3,004.11 = 770.60/x
  3. Step 3: Cross multiply
    2,003.02x = 3,004.11 × 770.60
  4. Step 4: Simplify right side
    2,003.02x = 2,314,974.68
  5. Step 5: Solve for x
    x = 2,314,974.68/2,003.02
  6. Step 6: Final answer
    x = 1,155.74

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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.