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Finding the Fourth Proportional to 3,200.74, 4,413.03 and 2,670.39

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Solution

The fourth proportional to 3,200.74, 4,413.03 and 2,670.39 is: 3,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.74 : 4,413.03 = 2,670.39 : x
  2. Step 2: Convert to fraction form
    3,200.74/4,413.03 = 2,670.39/x
  3. Step 3: Cross multiply
    3,200.74x = 4,413.03 × 2,670.39
  4. Step 4: Simplify right side
    3,200.74x = 11,784,511.18
  5. Step 5: Solve for x
    x = 11,784,511.18/3,200.74
  6. Step 6: Final answer
    x = 3,681.81

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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.