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Finding the Fourth Proportional to 2,003.67, 3,003.39 and 687.02

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Solution

The fourth proportional to 2,003.67, 3,003.39 and 687.02 is: 1,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.67 : 3,003.39 = 687.02 : x
  2. Step 2: Convert to fraction form
    2,003.67/3,003.39 = 687.02/x
  3. Step 3: Cross multiply
    2,003.67x = 3,003.39 × 687.02
  4. Step 4: Simplify right side
    2,003.67x = 2,063,373.98
  5. Step 5: Solve for x
    x = 2,063,373.98/2,003.67
  6. Step 6: Final answer
    x = 1,029.80

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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.