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Finding the Fourth Proportional to 3,223.62, 4,835.88 and 1,580.23

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Solution

The fourth proportional to 3,223.62, 4,835.88 and 1,580.23 is: 2,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.62 : 4,835.88 = 1,580.23 : x
  2. Step 2: Convert to fraction form
    3,223.62/4,835.88 = 1,580.23/x
  3. Step 3: Cross multiply
    3,223.62x = 4,835.88 × 1,580.23
  4. Step 4: Simplify right side
    3,223.62x = 7,641,802.65
  5. Step 5: Solve for x
    x = 7,641,802.65/3,223.62
  6. Step 6: Final answer
    x = 2,370.57

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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.