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Finding the Fourth Proportional to 2,003.37, 3,004.43 and 704.53

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Solution

The fourth proportional to 2,003.37, 3,004.43 and 704.53 is: 1,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.37 : 3,004.43 = 704.53 : x
  2. Step 2: Convert to fraction form
    2,003.37/3,004.43 = 704.53/x
  3. Step 3: Cross multiply
    2,003.37x = 3,004.43 × 704.53
  4. Step 4: Simplify right side
    2,003.37x = 2,116,711.30
  5. Step 5: Solve for x
    x = 2,116,711.30/2,003.37
  6. Step 6: Final answer
    x = 1,056.58

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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.