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Finding the Fourth Proportional to 2,050, 3,075 and 682

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Solution

The fourth proportional to 2,050, 3,075 and 682 is: 1,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 3,075 = 682 : x
  2. Step 2: Convert to fraction form
    2,050/3,075 = 682/x
  3. Step 3: Cross multiply
    2,050x = 3,075 × 682
  4. Step 4: Simplify right side
    2,050x = 2,097,150
  5. Step 5: Solve for x
    x = 2,097,150/2,050
  6. Step 6: Final answer
    x = 1,023

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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.