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Finding the Fourth Proportional to 1,923.94, 2,883.12 and 826.75

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Solution

The fourth proportional to 1,923.94, 2,883.12 and 826.75 is: 1,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.94 : 2,883.12 = 826.75 : x
  2. Step 2: Convert to fraction form
    1,923.94/2,883.12 = 826.75/x
  3. Step 3: Cross multiply
    1,923.94x = 2,883.12 × 826.75
  4. Step 4: Simplify right side
    1,923.94x = 2,383,619.46
  5. Step 5: Solve for x
    x = 2,383,619.46/1,923.94
  6. Step 6: Final answer
    x = 1,238.93

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1.5x scale

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.