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Finding the Fourth Proportional to 1,636.21, 2,455.31 and 662.23

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Solution

The fourth proportional to 1,636.21, 2,455.31 and 662.23 is: 993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.21 : 2,455.31 = 662.23 : x
  2. Step 2: Convert to fraction form
    1,636.21/2,455.31 = 662.23/x
  3. Step 3: Cross multiply
    1,636.21x = 2,455.31 × 662.23
  4. Step 4: Simplify right side
    1,636.21x = 1,625,979.94
  5. Step 5: Solve for x
    x = 1,625,979.94/1,636.21
  6. Step 6: Final answer
    x = 993.75

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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.