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Finding the Fourth Proportional to 3,059.26, 4,588.79 and 979.40

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Solution

The fourth proportional to 3,059.26, 4,588.79 and 979.40 is: 1,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.26 : 4,588.79 = 979.40 : x
  2. Step 2: Convert to fraction form
    3,059.26/4,588.79 = 979.40/x
  3. Step 3: Cross multiply
    3,059.26x = 4,588.79 × 979.40
  4. Step 4: Simplify right side
    3,059.26x = 4,494,267.50
  5. Step 5: Solve for x
    x = 4,494,267.50/3,059.26
  6. Step 6: Final answer
    x = 1,469.07

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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.