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Finding the Fourth Proportional to 4,269.43, 6,403.16 and 1,636.00

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Solution

The fourth proportional to 4,269.43, 6,403.16 and 1,636.00 is: 2,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.43 : 6,403.16 = 1,636.00 : x
  2. Step 2: Convert to fraction form
    4,269.43/6,403.16 = 1,636.00/x
  3. Step 3: Cross multiply
    4,269.43x = 6,403.16 × 1,636.00
  4. Step 4: Simplify right side
    4,269.43x = 10,475,529.56
  5. Step 5: Solve for x
    x = 10,475,529.56/4,269.43
  6. Step 6: Final answer
    x = 2,453.61

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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.