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Finding the Fourth Proportional to 1,208.46, 1,815.03 and 1,072.68

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Solution

The fourth proportional to 1,208.46, 1,815.03 and 1,072.68 is: 1,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.46 : 1,815.03 = 1,072.68 : x
  2. Step 2: Convert to fraction form
    1,208.46/1,815.03 = 1,072.68/x
  3. Step 3: Cross multiply
    1,208.46x = 1,815.03 × 1,072.68
  4. Step 4: Simplify right side
    1,208.46x = 1,946,946.38
  5. Step 5: Solve for x
    x = 1,946,946.38/1,208.46
  6. Step 6: Final answer
    x = 1,611.10

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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.