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Finding the Fourth Proportional to 4,660.98, 6,989.70 and 1,540.05

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Solution

The fourth proportional to 4,660.98, 6,989.70 and 1,540.05 is: 2,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.98 : 6,989.70 = 1,540.05 : x
  2. Step 2: Convert to fraction form
    4,660.98/6,989.70 = 1,540.05/x
  3. Step 3: Cross multiply
    4,660.98x = 6,989.70 × 1,540.05
  4. Step 4: Simplify right side
    4,660.98x = 10,764,467.05
  5. Step 5: Solve for x
    x = 10,764,467.05/4,660.98
  6. Step 6: Final answer
    x = 2,309.49

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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.