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Finding the Fourth Proportional to 2,075, 2,863.68 and 1,143.68

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Solution

The fourth proportional to 2,075, 2,863.68 and 1,143.68 is: 1,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075 : 2,863.68 = 1,143.68 : x
  2. Step 2: Convert to fraction form
    2,075/2,863.68 = 1,143.68/x
  3. Step 3: Cross multiply
    2,075x = 2,863.68 × 1,143.68
  4. Step 4: Simplify right side
    2,075x = 3,275,133.54
  5. Step 5: Solve for x
    x = 3,275,133.54/2,075
  6. Step 6: Final answer
    x = 1,578.38

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1.5x scale

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.