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Finding the Fourth Proportional to 7,184.50, 10,777.38 and 1,990.42

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Solution

The fourth proportional to 7,184.50, 10,777.38 and 1,990.42 is: 2,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.50 : 10,777.38 = 1,990.42 : x
  2. Step 2: Convert to fraction form
    7,184.50/10,777.38 = 1,990.42/x
  3. Step 3: Cross multiply
    7,184.50x = 10,777.38 × 1,990.42
  4. Step 4: Simplify right side
    7,184.50x = 21,451,512.70
  5. Step 5: Solve for x
    x = 21,451,512.70/7,184.50
  6. Step 6: Final answer
    x = 2,985.80

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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.