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Finding the Fourth Proportional to 2,084.94, 2,879.82 and 1,524.56

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Solution

The fourth proportional to 2,084.94, 2,879.82 and 1,524.56 is: 2,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.94 : 2,879.82 = 1,524.56 : x
  2. Step 2: Convert to fraction form
    2,084.94/2,879.82 = 1,524.56/x
  3. Step 3: Cross multiply
    2,084.94x = 2,879.82 × 1,524.56
  4. Step 4: Simplify right side
    2,084.94x = 4,390,443.98
  5. Step 5: Solve for x
    x = 4,390,443.98/2,084.94
  6. Step 6: Final answer
    x = 2,105.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.