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Finding the Fourth Proportional to 2,413.75, 3,620.66 and 952.89

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Solution

The fourth proportional to 2,413.75, 3,620.66 and 952.89 is: 1,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.75 : 3,620.66 = 952.89 : x
  2. Step 2: Convert to fraction form
    2,413.75/3,620.66 = 952.89/x
  3. Step 3: Cross multiply
    2,413.75x = 3,620.66 × 952.89
  4. Step 4: Simplify right side
    2,413.75x = 3,450,090.71
  5. Step 5: Solve for x
    x = 3,450,090.71/2,413.75
  6. Step 6: Final answer
    x = 1,429.35

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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.