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Finding the Fourth Proportional to 1,467.80, 2,202.12 and 427.88

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Solution

The fourth proportional to 1,467.80, 2,202.12 and 427.88 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.80 : 2,202.12 = 427.88 : x
  2. Step 2: Convert to fraction form
    1,467.80/2,202.12 = 427.88/x
  3. Step 3: Cross multiply
    1,467.80x = 2,202.12 × 427.88
  4. Step 4: Simplify right side
    1,467.80x = 942,243.11
  5. Step 5: Solve for x
    x = 942,243.11/1,467.80
  6. Step 6: Final answer
    x = 641.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.