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Finding the Fourth Proportional to 2,002.35, 3,003.93 and 704.73

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Solution

The fourth proportional to 2,002.35, 3,003.93 and 704.73 is: 1,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.35 : 3,003.93 = 704.73 : x
  2. Step 2: Convert to fraction form
    2,002.35/3,003.93 = 704.73/x
  3. Step 3: Cross multiply
    2,002.35x = 3,003.93 × 704.73
  4. Step 4: Simplify right side
    2,002.35x = 2,116,959.59
  5. Step 5: Solve for x
    x = 2,116,959.59/2,002.35
  6. Step 6: Final answer
    x = 1,057.24

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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.