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Finding the Fourth Proportional to 2,033.54, 3,050.71 and 863.53

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Solution

The fourth proportional to 2,033.54, 3,050.71 and 863.53 is: 1,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.54 : 3,050.71 = 863.53 : x
  2. Step 2: Convert to fraction form
    2,033.54/3,050.71 = 863.53/x
  3. Step 3: Cross multiply
    2,033.54x = 3,050.71 × 863.53
  4. Step 4: Simplify right side
    2,033.54x = 2,634,375.11
  5. Step 5: Solve for x
    x = 2,634,375.11/2,033.54
  6. Step 6: Final answer
    x = 1,295.47

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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.