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Finding the Fourth Proportional to 2,272.66, 3,413.14 and 2,099.14

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Solution

The fourth proportional to 2,272.66, 3,413.14 and 2,099.14 is: 3,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.66 : 3,413.14 = 2,099.14 : x
  2. Step 2: Convert to fraction form
    2,272.66/3,413.14 = 2,099.14/x
  3. Step 3: Cross multiply
    2,272.66x = 3,413.14 × 2,099.14
  4. Step 4: Simplify right side
    2,272.66x = 7,164,658.70
  5. Step 5: Solve for x
    x = 7,164,658.70/2,272.66
  6. Step 6: Final answer
    x = 3,152.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.