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Finding the Fourth Proportional to 3,059.83, 4,589.66 and 979.75

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Solution

The fourth proportional to 3,059.83, 4,589.66 and 979.75 is: 1,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.83 : 4,589.66 = 979.75 : x
  2. Step 2: Convert to fraction form
    3,059.83/4,589.66 = 979.75/x
  3. Step 3: Cross multiply
    3,059.83x = 4,589.66 × 979.75
  4. Step 4: Simplify right side
    3,059.83x = 4,496,701.75
  5. Step 5: Solve for x
    x = 4,496,701.75/3,059.83
  6. Step 6: Final answer
    x = 1,469.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.