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Finding the Fourth Proportional to 4,896.68, 7,345.68 and 1,608.62

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Solution

The fourth proportional to 4,896.68, 7,345.68 and 1,608.62 is: 2,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.68 : 7,345.68 = 1,608.62 : x
  2. Step 2: Convert to fraction form
    4,896.68/7,345.68 = 1,608.62/x
  3. Step 3: Cross multiply
    4,896.68x = 7,345.68 × 1,608.62
  4. Step 4: Simplify right side
    4,896.68x = 11,816,407.76
  5. Step 5: Solve for x
    x = 11,816,407.76/4,896.68
  6. Step 6: Final answer
    x = 2,413.15

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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.