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Finding the Fourth Proportional to 2,020.40, 3,046.02 and 1,879.46

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Solution

The fourth proportional to 2,020.40, 3,046.02 and 1,879.46 is: 2,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.40 : 3,046.02 = 1,879.46 : x
  2. Step 2: Convert to fraction form
    2,020.40/3,046.02 = 1,879.46/x
  3. Step 3: Cross multiply
    2,020.40x = 3,046.02 × 1,879.46
  4. Step 4: Simplify right side
    2,020.40x = 5,724,872.75
  5. Step 5: Solve for x
    x = 5,724,872.75/2,020.40
  6. Step 6: Final answer
    x = 2,833.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.