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Finding the Fourth Proportional to 2,253, 3,108.24 and 1,413.36

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Solution

The fourth proportional to 2,253, 3,108.24 and 1,413.36 is: 1,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253 : 3,108.24 = 1,413.36 : x
  2. Step 2: Convert to fraction form
    2,253/3,108.24 = 1,413.36/x
  3. Step 3: Cross multiply
    2,253x = 3,108.24 × 1,413.36
  4. Step 4: Simplify right side
    2,253x = 4,393,062.09
  5. Step 5: Solve for x
    x = 4,393,062.09/2,253
  6. Step 6: Final answer
    x = 1,949.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.