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Finding the Fourth Proportional to 1,846.16, 2,769.48 and 872.48

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Solution

The fourth proportional to 1,846.16, 2,769.48 and 872.48 is: 1,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.16 : 2,769.48 = 872.48 : x
  2. Step 2: Convert to fraction form
    1,846.16/2,769.48 = 872.48/x
  3. Step 3: Cross multiply
    1,846.16x = 2,769.48 × 872.48
  4. Step 4: Simplify right side
    1,846.16x = 2,416,315.91
  5. Step 5: Solve for x
    x = 2,416,315.91/1,846.16
  6. Step 6: Final answer
    x = 1,308.83

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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.