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Finding the Fourth Proportional to 2,003.25, 3,004.55 and 704.42

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Solution

The fourth proportional to 2,003.25, 3,004.55 and 704.42 is: 1,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.25 : 3,004.55 = 704.42 : x
  2. Step 2: Convert to fraction form
    2,003.25/3,004.55 = 704.42/x
  3. Step 3: Cross multiply
    2,003.25x = 3,004.55 × 704.42
  4. Step 4: Simplify right side
    2,003.25x = 2,116,465.11
  5. Step 5: Solve for x
    x = 2,116,465.11/2,003.25
  6. Step 6: Final answer
    x = 1,056.52

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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.