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Finding the Fourth Proportional to 1,662.21, 2,493.46 and 429.65

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Solution

The fourth proportional to 1,662.21, 2,493.46 and 429.65 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.21 : 2,493.46 = 429.65 : x
  2. Step 2: Convert to fraction form
    1,662.21/2,493.46 = 429.65/x
  3. Step 3: Cross multiply
    1,662.21x = 2,493.46 × 429.65
  4. Step 4: Simplify right side
    1,662.21x = 1,071,310.91
  5. Step 5: Solve for x
    x = 1,071,310.91/1,662.21
  6. Step 6: Final answer
    x = 644.51

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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.