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Finding the Fourth Proportional to 3,121, 4,307 and 1,723.80

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Solution

The fourth proportional to 3,121, 4,307 and 1,723.80 is: 2,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121 : 4,307 = 1,723.80 : x
  2. Step 2: Convert to fraction form
    3,121/4,307 = 1,723.80/x
  3. Step 3: Cross multiply
    3,121x = 4,307 × 1,723.80
  4. Step 4: Simplify right side
    3,121x = 7,424,406.60
  5. Step 5: Solve for x
    x = 7,424,406.60/3,121
  6. Step 6: Final answer
    x = 2,378.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.