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Finding the Fourth Proportional to 2,976.53, 4,454.26 and 2,194.67

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Solution

The fourth proportional to 2,976.53, 4,454.26 and 2,194.67 is: 3,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.53 : 4,454.26 = 2,194.67 : x
  2. Step 2: Convert to fraction form
    2,976.53/4,454.26 = 2,194.67/x
  3. Step 3: Cross multiply
    2,976.53x = 4,454.26 × 2,194.67
  4. Step 4: Simplify right side
    2,976.53x = 9,775,636.44
  5. Step 5: Solve for x
    x = 9,775,636.44/2,976.53
  6. Step 6: Final answer
    x = 3,284.24

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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.