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Finding the Fourth Proportional to 2,276.38, 3,413.07 and 1,838.17

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Solution

The fourth proportional to 2,276.38, 3,413.07 and 1,838.17 is: 2,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.38 : 3,413.07 = 1,838.17 : x
  2. Step 2: Convert to fraction form
    2,276.38/3,413.07 = 1,838.17/x
  3. Step 3: Cross multiply
    2,276.38x = 3,413.07 × 1,838.17
  4. Step 4: Simplify right side
    2,276.38x = 6,273,802.88
  5. Step 5: Solve for x
    x = 6,273,802.88/2,276.38
  6. Step 6: Final answer
    x = 2,756.04

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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.