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Finding the Fourth Proportional to 1,950.87, 2,693.91 and 1,422.75

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Solution

The fourth proportional to 1,950.87, 2,693.91 and 1,422.75 is: 1,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.87 : 2,693.91 = 1,422.75 : x
  2. Step 2: Convert to fraction form
    1,950.87/2,693.91 = 1,422.75/x
  3. Step 3: Cross multiply
    1,950.87x = 2,693.91 × 1,422.75
  4. Step 4: Simplify right side
    1,950.87x = 3,832,760.45
  5. Step 5: Solve for x
    x = 3,832,760.45/1,950.87
  6. Step 6: Final answer
    x = 1,964.64

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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.