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Finding the Fourth Proportional to 1,636.66, 2,453.57 and 662.13

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Solution

The fourth proportional to 1,636.66, 2,453.57 and 662.13 is: 992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.66 : 2,453.57 = 662.13 : x
  2. Step 2: Convert to fraction form
    1,636.66/2,453.57 = 662.13/x
  3. Step 3: Cross multiply
    1,636.66x = 2,453.57 × 662.13
  4. Step 4: Simplify right side
    1,636.66x = 1,624,582.30
  5. Step 5: Solve for x
    x = 1,624,582.30/1,636.66
  6. Step 6: Final answer
    x = 992.62

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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.