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Finding the Fourth Proportional to 2,408.56, 3,325.12 and 1,413.83

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Solution

The fourth proportional to 2,408.56, 3,325.12 and 1,413.83 is: 1,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.56 : 3,325.12 = 1,413.83 : x
  2. Step 2: Convert to fraction form
    2,408.56/3,325.12 = 1,413.83/x
  3. Step 3: Cross multiply
    2,408.56x = 3,325.12 × 1,413.83
  4. Step 4: Simplify right side
    2,408.56x = 4,701,159.19
  5. Step 5: Solve for x
    x = 4,701,159.19/2,408.56
  6. Step 6: Final answer
    x = 1,951.86

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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.