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Finding the Fourth Proportional to 1,846.35, 2,769.53 and 1,766.36

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Solution

The fourth proportional to 1,846.35, 2,769.53 and 1,766.36 is: 2,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.35 : 2,769.53 = 1,766.36 : x
  2. Step 2: Convert to fraction form
    1,846.35/2,769.53 = 1,766.36/x
  3. Step 3: Cross multiply
    1,846.35x = 2,769.53 × 1,766.36
  4. Step 4: Simplify right side
    1,846.35x = 4,891,985.10
  5. Step 5: Solve for x
    x = 4,891,985.10/1,846.35
  6. Step 6: Final answer
    x = 2,649.54

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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.