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Finding the Fourth Proportional to 3,199.57, 4,802.33 and 1,640.69

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Solution

The fourth proportional to 3,199.57, 4,802.33 and 1,640.69 is: 2,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.57 : 4,802.33 = 1,640.69 : x
  2. Step 2: Convert to fraction form
    3,199.57/4,802.33 = 1,640.69/x
  3. Step 3: Cross multiply
    3,199.57x = 4,802.33 × 1,640.69
  4. Step 4: Simplify right side
    3,199.57x = 7,879,102.59
  5. Step 5: Solve for x
    x = 7,879,102.59/3,199.57
  6. Step 6: Final answer
    x = 2,462.55

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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.