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Finding the Fourth Proportional to 3,223.70, 4,834.20 and 1,580.75

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Solution

The fourth proportional to 3,223.70, 4,834.20 and 1,580.75 is: 2,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.70 : 4,834.20 = 1,580.75 : x
  2. Step 2: Convert to fraction form
    3,223.70/4,834.20 = 1,580.75/x
  3. Step 3: Cross multiply
    3,223.70x = 4,834.20 × 1,580.75
  4. Step 4: Simplify right side
    3,223.70x = 7,641,661.65
  5. Step 5: Solve for x
    x = 7,641,661.65/3,223.70
  6. Step 6: Final answer
    x = 2,370.46

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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.