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Finding the Fourth Proportional to 2,276.38, 3,413.66 and 889.52

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Solution

The fourth proportional to 2,276.38, 3,413.66 and 889.52 is: 1,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.38 : 3,413.66 = 889.52 : x
  2. Step 2: Convert to fraction form
    2,276.38/3,413.66 = 889.52/x
  3. Step 3: Cross multiply
    2,276.38x = 3,413.66 × 889.52
  4. Step 4: Simplify right side
    2,276.38x = 3,036,518.84
  5. Step 5: Solve for x
    x = 3,036,518.84/2,276.38
  6. Step 6: Final answer
    x = 1,333.92

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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.