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Finding the Fourth Proportional to 2,413.46, 3,614.73 and 1,890.20

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Solution

The fourth proportional to 2,413.46, 3,614.73 and 1,890.20 is: 2,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.46 : 3,614.73 = 1,890.20 : x
  2. Step 2: Convert to fraction form
    2,413.46/3,614.73 = 1,890.20/x
  3. Step 3: Cross multiply
    2,413.46x = 3,614.73 × 1,890.20
  4. Step 4: Simplify right side
    2,413.46x = 6,832,564.59
  5. Step 5: Solve for x
    x = 6,832,564.59/2,413.46
  6. Step 6: Final answer
    x = 2,831.02

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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.