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Finding the Fourth Proportional to 3,075, 4,611.81 and 1,493.67

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Solution

The fourth proportional to 3,075, 4,611.81 and 1,493.67 is: 2,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 4,611.81 = 1,493.67 : x
  2. Step 2: Convert to fraction form
    3,075/4,611.81 = 1,493.67/x
  3. Step 3: Cross multiply
    3,075x = 4,611.81 × 1,493.67
  4. Step 4: Simplify right side
    3,075x = 6,888,522.24
  5. Step 5: Solve for x
    x = 6,888,522.24/3,075
  6. Step 6: Final answer
    x = 2,240.17

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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.