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Finding the Fourth Proportional to 1,993.68, 2,745.70 and 1,950.64

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Solution

The fourth proportional to 1,993.68, 2,745.70 and 1,950.64 is: 2,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.68 : 2,745.70 = 1,950.64 : x
  2. Step 2: Convert to fraction form
    1,993.68/2,745.70 = 1,950.64/x
  3. Step 3: Cross multiply
    1,993.68x = 2,745.70 × 1,950.64
  4. Step 4: Simplify right side
    1,993.68x = 5,355,860.51
  5. Step 5: Solve for x
    x = 5,355,860.51/1,993.68
  6. Step 6: Final answer
    x = 2,686.42

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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.