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Finding the Fourth Proportional to 3,047.50, 4,571.25 and 1,679.50

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Solution

The fourth proportional to 3,047.50, 4,571.25 and 1,679.50 is: 2,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.50 : 4,571.25 = 1,679.50 : x
  2. Step 2: Convert to fraction form
    3,047.50/4,571.25 = 1,679.50/x
  3. Step 3: Cross multiply
    3,047.50x = 4,571.25 × 1,679.50
  4. Step 4: Simplify right side
    3,047.50x = 7,677,414.38
  5. Step 5: Solve for x
    x = 7,677,414.38/3,047.50
  6. Step 6: Final answer
    x = 2,519.25

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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.