Home / 1,520.26-2,284.52-827.44

Finding the Fourth Proportional to 1,520.26, 2,284.52 and 827.44

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Solution

The fourth proportional to 1,520.26, 2,284.52 and 827.44 is: 1,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.26 : 2,284.52 = 827.44 : x
  2. Step 2: Convert to fraction form
    1,520.26/2,284.52 = 827.44/x
  3. Step 3: Cross multiply
    1,520.26x = 2,284.52 × 827.44
  4. Step 4: Simplify right side
    1,520.26x = 1,890,303.23
  5. Step 5: Solve for x
    x = 1,890,303.23/1,520.26
  6. Step 6: Final answer
    x = 1,243.41

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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.