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Finding the Fourth Proportional to 3,197.88, 4,413.02 and 1,800.63

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Solution

The fourth proportional to 3,197.88, 4,413.02 and 1,800.63 is: 2,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.88 : 4,413.02 = 1,800.63 : x
  2. Step 2: Convert to fraction form
    3,197.88/4,413.02 = 1,800.63/x
  3. Step 3: Cross multiply
    3,197.88x = 4,413.02 × 1,800.63
  4. Step 4: Simplify right side
    3,197.88x = 7,946,207.20
  5. Step 5: Solve for x
    x = 7,946,207.20/3,197.88
  6. Step 6: Final answer
    x = 2,484.84

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1.5x scale

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.