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Finding the Fourth Proportional to 1,923.78, 2,883.27 and 998.80

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Solution

The fourth proportional to 1,923.78, 2,883.27 and 998.80 is: 1,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.78 : 2,883.27 = 998.80 : x
  2. Step 2: Convert to fraction form
    1,923.78/2,883.27 = 998.80/x
  3. Step 3: Cross multiply
    1,923.78x = 2,883.27 × 998.80
  4. Step 4: Simplify right side
    1,923.78x = 2,879,810.08
  5. Step 5: Solve for x
    x = 2,879,810.08/1,923.78
  6. Step 6: Final answer
    x = 1,496.95

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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.