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Finding the Fourth Proportional to 1,608.54, 2,413.02 and 683.94

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Solution

The fourth proportional to 1,608.54, 2,413.02 and 683.94 is: 1,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.54 : 2,413.02 = 683.94 : x
  2. Step 2: Convert to fraction form
    1,608.54/2,413.02 = 683.94/x
  3. Step 3: Cross multiply
    1,608.54x = 2,413.02 × 683.94
  4. Step 4: Simplify right side
    1,608.54x = 1,650,360.90
  5. Step 5: Solve for x
    x = 1,650,360.90/1,608.54
  6. Step 6: Final answer
    x = 1,026.00

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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.