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Finding the Fourth Proportional to 1,846.48, 2,769.72 and 1,462

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Solution

The fourth proportional to 1,846.48, 2,769.72 and 1,462 is: 2,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.48 : 2,769.72 = 1,462 : x
  2. Step 2: Convert to fraction form
    1,846.48/2,769.72 = 1,462/x
  3. Step 3: Cross multiply
    1,846.48x = 2,769.72 × 1,462
  4. Step 4: Simplify right side
    1,846.48x = 4,049,330.64
  5. Step 5: Solve for x
    x = 4,049,330.64/1,846.48
  6. Step 6: Final answer
    x = 2,193

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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.