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Finding the Fourth Proportional to 2,275.12, 3,413.06 and 813.93

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Solution

The fourth proportional to 2,275.12, 3,413.06 and 813.93 is: 1,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.12 : 3,413.06 = 813.93 : x
  2. Step 2: Convert to fraction form
    2,275.12/3,413.06 = 813.93/x
  3. Step 3: Cross multiply
    2,275.12x = 3,413.06 × 813.93
  4. Step 4: Simplify right side
    2,275.12x = 2,777,991.93
  5. Step 5: Solve for x
    x = 2,777,991.93/2,275.12
  6. Step 6: Final answer
    x = 1,221.03

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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.