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Finding the Fourth Proportional to 4,269.84, 6,406.73 and 1,636.48

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Solution

The fourth proportional to 4,269.84, 6,406.73 and 1,636.48 is: 2,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.84 : 6,406.73 = 1,636.48 : x
  2. Step 2: Convert to fraction form
    4,269.84/6,406.73 = 1,636.48/x
  3. Step 3: Cross multiply
    4,269.84x = 6,406.73 × 1,636.48
  4. Step 4: Simplify right side
    4,269.84x = 10,484,480.36
  5. Step 5: Solve for x
    x = 10,484,480.36/4,269.84
  6. Step 6: Final answer
    x = 2,455.47

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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.