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Finding the Fourth Proportional to 2,253.36, 3,108.78 and 1,413.72

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Solution

The fourth proportional to 2,253.36, 3,108.78 and 1,413.72 is: 1,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.36 : 3,108.78 = 1,413.72 : x
  2. Step 2: Convert to fraction form
    2,253.36/3,108.78 = 1,413.72/x
  3. Step 3: Cross multiply
    2,253.36x = 3,108.78 × 1,413.72
  4. Step 4: Simplify right side
    2,253.36x = 4,394,944.46
  5. Step 5: Solve for x
    x = 4,394,944.46/2,253.36
  6. Step 6: Final answer
    x = 1,950.40

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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.