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Finding the Fourth Proportional to 2,790.86, 4,186.80 and 2,275.45

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Solution

The fourth proportional to 2,790.86, 4,186.80 and 2,275.45 is: 3,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.86 : 4,186.80 = 2,275.45 : x
  2. Step 2: Convert to fraction form
    2,790.86/4,186.80 = 2,275.45/x
  3. Step 3: Cross multiply
    2,790.86x = 4,186.80 × 2,275.45
  4. Step 4: Simplify right side
    2,790.86x = 9,526,854.06
  5. Step 5: Solve for x
    x = 9,526,854.06/2,790.86
  6. Step 6: Final answer
    x = 3,413.59

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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.