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Finding the Fourth Proportional to 2,151.98, 3,228.24 and 2,118.62

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Solution

The fourth proportional to 2,151.98, 3,228.24 and 2,118.62 is: 3,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.98 : 3,228.24 = 2,118.62 : x
  2. Step 2: Convert to fraction form
    2,151.98/3,228.24 = 2,118.62/x
  3. Step 3: Cross multiply
    2,151.98x = 3,228.24 × 2,118.62
  4. Step 4: Simplify right side
    2,151.98x = 6,839,413.83
  5. Step 5: Solve for x
    x = 6,839,413.83/2,151.98
  6. Step 6: Final answer
    x = 3,178.20

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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.