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Finding the Fourth Proportional to 4,603.41, 6,902.73 and 1,640.73

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Solution

The fourth proportional to 4,603.41, 6,902.73 and 1,640.73 is: 2,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.41 : 6,902.73 = 1,640.73 : x
  2. Step 2: Convert to fraction form
    4,603.41/6,902.73 = 1,640.73/x
  3. Step 3: Cross multiply
    4,603.41x = 6,902.73 × 1,640.73
  4. Step 4: Simplify right side
    4,603.41x = 11,325,516.19
  5. Step 5: Solve for x
    x = 11,325,516.19/4,603.41
  6. Step 6: Final answer
    x = 2,460.24

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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.