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Finding the Fourth Proportional to 3,059.82, 4,590.48 and 979.83

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Solution

The fourth proportional to 3,059.82, 4,590.48 and 979.83 is: 1,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.82 : 4,590.48 = 979.83 : x
  2. Step 2: Convert to fraction form
    3,059.82/4,590.48 = 979.83/x
  3. Step 3: Cross multiply
    3,059.82x = 4,590.48 × 979.83
  4. Step 4: Simplify right side
    3,059.82x = 4,497,890.02
  5. Step 5: Solve for x
    x = 4,497,890.02/3,059.82
  6. Step 6: Final answer
    x = 1,469.99

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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.