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Finding the Fourth Proportional to 1,846.34, 2,769.17 and 529.80

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Solution

The fourth proportional to 1,846.34, 2,769.17 and 529.80 is: 794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.34 : 2,769.17 = 529.80 : x
  2. Step 2: Convert to fraction form
    1,846.34/2,769.17 = 529.80/x
  3. Step 3: Cross multiply
    1,846.34x = 2,769.17 × 529.80
  4. Step 4: Simplify right side
    1,846.34x = 1,467,103.62
  5. Step 5: Solve for x
    x = 1,467,103.62/1,846.34
  6. Step 6: Final answer
    x = 794.60

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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.