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Finding the Fourth Proportional to 2,057.03, 3,084.74 and 670.03

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Solution

The fourth proportional to 2,057.03, 3,084.74 and 670.03 is: 1,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.03 : 3,084.74 = 670.03 : x
  2. Step 2: Convert to fraction form
    2,057.03/3,084.74 = 670.03/x
  3. Step 3: Cross multiply
    2,057.03x = 3,084.74 × 670.03
  4. Step 4: Simplify right side
    2,057.03x = 2,066,849.57
  5. Step 5: Solve for x
    x = 2,066,849.57/2,057.03
  6. Step 6: Final answer
    x = 1,004.78

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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.