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Finding the Fourth Proportional to 2,002.64, 3,001.22 and 1,270.90

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Solution

The fourth proportional to 2,002.64, 3,001.22 and 1,270.90 is: 1,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.64 : 3,001.22 = 1,270.90 : x
  2. Step 2: Convert to fraction form
    2,002.64/3,001.22 = 1,270.90/x
  3. Step 3: Cross multiply
    2,002.64x = 3,001.22 × 1,270.90
  4. Step 4: Simplify right side
    2,002.64x = 3,814,250.50
  5. Step 5: Solve for x
    x = 3,814,250.50/2,002.64
  6. Step 6: Final answer
    x = 1,904.61

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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.