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Finding the Fourth Proportional to 1,462.21, 2,193.07 and 421.98

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Solution

The fourth proportional to 1,462.21, 2,193.07 and 421.98 is: 632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.21 : 2,193.07 = 421.98 : x
  2. Step 2: Convert to fraction form
    1,462.21/2,193.07 = 421.98/x
  3. Step 3: Cross multiply
    1,462.21x = 2,193.07 × 421.98
  4. Step 4: Simplify right side
    1,462.21x = 925,431.68
  5. Step 5: Solve for x
    x = 925,431.68/1,462.21
  6. Step 6: Final answer
    x = 632.90

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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.