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Finding the Fourth Proportional to 2,275.74, 3,413.67 and 889.02

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Solution

The fourth proportional to 2,275.74, 3,413.67 and 889.02 is: 1,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.74 : 3,413.67 = 889.02 : x
  2. Step 2: Convert to fraction form
    2,275.74/3,413.67 = 889.02/x
  3. Step 3: Cross multiply
    2,275.74x = 3,413.67 × 889.02
  4. Step 4: Simplify right side
    2,275.74x = 3,034,820.90
  5. Step 5: Solve for x
    x = 3,034,820.90/2,275.74
  6. Step 6: Final answer
    x = 1,333.55

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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.