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Finding the Fourth Proportional to 2,002.54, 3,003.81 and 704.02

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Solution

The fourth proportional to 2,002.54, 3,003.81 and 704.02 is: 1,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.54 : 3,003.81 = 704.02 : x
  2. Step 2: Convert to fraction form
    2,002.54/3,003.81 = 704.02/x
  3. Step 3: Cross multiply
    2,002.54x = 3,003.81 × 704.02
  4. Step 4: Simplify right side
    2,002.54x = 2,114,742.32
  5. Step 5: Solve for x
    x = 2,114,742.32/2,002.54
  6. Step 6: Final answer
    x = 1,056.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.