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Finding the Fourth Proportional to 2,038, 3,057 and 670

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Solution

The fourth proportional to 2,038, 3,057 and 670 is: 1,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038 : 3,057 = 670 : x
  2. Step 2: Convert to fraction form
    2,038/3,057 = 670/x
  3. Step 3: Cross multiply
    2,038x = 3,057 × 670
  4. Step 4: Simplify right side
    2,038x = 2,048,190
  5. Step 5: Solve for x
    x = 2,048,190/2,038
  6. Step 6: Final answer
    x = 1,005

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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.