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Finding the Fourth Proportional to 2,002.68, 3,004.46 and 704.20

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Solution

The fourth proportional to 2,002.68, 3,004.46 and 704.20 is: 1,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 3,004.46 = 704.20 : x
  2. Step 2: Convert to fraction form
    2,002.68/3,004.46 = 704.20/x
  3. Step 3: Cross multiply
    2,002.68x = 3,004.46 × 704.20
  4. Step 4: Simplify right side
    2,002.68x = 2,115,740.73
  5. Step 5: Solve for x
    x = 2,115,740.73/2,002.68
  6. Step 6: Final answer
    x = 1,056.45

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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.