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Finding the Fourth Proportional to 1,923.04, 2,884.38 and 827.20

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Solution

The fourth proportional to 1,923.04, 2,884.38 and 827.20 is: 1,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.04 : 2,884.38 = 827.20 : x
  2. Step 2: Convert to fraction form
    1,923.04/2,884.38 = 827.20/x
  3. Step 3: Cross multiply
    1,923.04x = 2,884.38 × 827.20
  4. Step 4: Simplify right side
    1,923.04x = 2,385,959.14
  5. Step 5: Solve for x
    x = 2,385,959.14/1,923.04
  6. Step 6: Final answer
    x = 1,240.72

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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.