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Finding the Fourth Proportional to 4,269.63, 6,403.05 and 1,636.99

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Solution

The fourth proportional to 4,269.63, 6,403.05 and 1,636.99 is: 2,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.63 : 6,403.05 = 1,636.99 : x
  2. Step 2: Convert to fraction form
    4,269.63/6,403.05 = 1,636.99/x
  3. Step 3: Cross multiply
    4,269.63x = 6,403.05 × 1,636.99
  4. Step 4: Simplify right side
    4,269.63x = 10,481,748.83
  5. Step 5: Solve for x
    x = 10,481,748.83/4,269.63
  6. Step 6: Final answer
    x = 2,454.96

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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.