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Finding the Fourth Proportional to 3,409.75, 4,706.67 and 2,012.50

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Solution

The fourth proportional to 3,409.75, 4,706.67 and 2,012.50 is: 2,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.75 : 4,706.67 = 2,012.50 : x
  2. Step 2: Convert to fraction form
    3,409.75/4,706.67 = 2,012.50/x
  3. Step 3: Cross multiply
    3,409.75x = 4,706.67 × 2,012.50
  4. Step 4: Simplify right side
    3,409.75x = 9,472,173.38
  5. Step 5: Solve for x
    x = 9,472,173.38/3,409.75
  6. Step 6: Final answer
    x = 2,777.97

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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.