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Finding the Fourth Proportional to 1,467.94, 2,202.41 and 919.46

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Solution

The fourth proportional to 1,467.94, 2,202.41 and 919.46 is: 1,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.94 : 2,202.41 = 919.46 : x
  2. Step 2: Convert to fraction form
    1,467.94/2,202.41 = 919.46/x
  3. Step 3: Cross multiply
    1,467.94x = 2,202.41 × 919.46
  4. Step 4: Simplify right side
    1,467.94x = 2,025,027.90
  5. Step 5: Solve for x
    x = 2,025,027.90/1,467.94
  6. Step 6: Final answer
    x = 1,379.50

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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.