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Finding the Fourth Proportional to 1,609.36, 2,413.36 and 684.88

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Solution

The fourth proportional to 1,609.36, 2,413.36 and 684.88 is: 1,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.36 : 2,413.36 = 684.88 : x
  2. Step 2: Convert to fraction form
    1,609.36/2,413.36 = 684.88/x
  3. Step 3: Cross multiply
    1,609.36x = 2,413.36 × 684.88
  4. Step 4: Simplify right side
    1,609.36x = 1,652,862.00
  5. Step 5: Solve for x
    x = 1,652,862.00/1,609.36
  6. Step 6: Final answer
    x = 1,027.03

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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.