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Finding the Fourth Proportional to 2,275.09, 3,413.07 and 1,105.89

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Solution

The fourth proportional to 2,275.09, 3,413.07 and 1,105.89 is: 1,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.09 : 3,413.07 = 1,105.89 : x
  2. Step 2: Convert to fraction form
    2,275.09/3,413.07 = 1,105.89/x
  3. Step 3: Cross multiply
    2,275.09x = 3,413.07 × 1,105.89
  4. Step 4: Simplify right side
    2,275.09x = 3,774,467.18
  5. Step 5: Solve for x
    x = 3,774,467.18/2,275.09
  6. Step 6: Final answer
    x = 1,659.04

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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.