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Finding the Fourth Proportional to 3,207.61, 4,424.34 and 2,413.00

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Solution

The fourth proportional to 3,207.61, 4,424.34 and 2,413.00 is: 3,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.61 : 4,424.34 = 2,413.00 : x
  2. Step 2: Convert to fraction form
    3,207.61/4,424.34 = 2,413.00/x
  3. Step 3: Cross multiply
    3,207.61x = 4,424.34 × 2,413.00
  4. Step 4: Simplify right side
    3,207.61x = 10,675,930.41
  5. Step 5: Solve for x
    x = 10,675,930.41/3,207.61
  6. Step 6: Final answer
    x = 3,328.32

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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.