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Finding the Fourth Proportional to 2,002.74, 3,004.08 and 704.22

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Solution

The fourth proportional to 2,002.74, 3,004.08 and 704.22 is: 1,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.74 : 3,004.08 = 704.22 : x
  2. Step 2: Convert to fraction form
    2,002.74/3,004.08 = 704.22/x
  3. Step 3: Cross multiply
    2,002.74x = 3,004.08 × 704.22
  4. Step 4: Simplify right side
    2,002.74x = 2,115,533.22
  5. Step 5: Solve for x
    x = 2,115,533.22/2,002.74
  6. Step 6: Final answer
    x = 1,056.32

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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.