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Finding the Fourth Proportional to 1,467.40, 2,201.90 and 601.80

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Solution

The fourth proportional to 1,467.40, 2,201.90 and 601.80 is: 903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.40 : 2,201.90 = 601.80 : x
  2. Step 2: Convert to fraction form
    1,467.40/2,201.90 = 601.80/x
  3. Step 3: Cross multiply
    1,467.40x = 2,201.90 × 601.80
  4. Step 4: Simplify right side
    1,467.40x = 1,325,103.42
  5. Step 5: Solve for x
    x = 1,325,103.42/1,467.40
  6. Step 6: Final answer
    x = 903.03

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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.