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Finding the Fourth Proportional to 4,413.46, 6,620.20 and 1,640.74

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Solution

The fourth proportional to 4,413.46, 6,620.20 and 1,640.74 is: 2,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.46 : 6,620.20 = 1,640.74 : x
  2. Step 2: Convert to fraction form
    4,413.46/6,620.20 = 1,640.74/x
  3. Step 3: Cross multiply
    4,413.46x = 6,620.20 × 1,640.74
  4. Step 4: Simplify right side
    4,413.46x = 10,862,026.95
  5. Step 5: Solve for x
    x = 10,862,026.95/4,413.46
  6. Step 6: Final answer
    x = 2,461.11

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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.