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Finding the Fourth Proportional to 1,846.36, 2,769.06 and 547.52

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Solution

The fourth proportional to 1,846.36, 2,769.06 and 547.52 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.36 : 2,769.06 = 547.52 : x
  2. Step 2: Convert to fraction form
    1,846.36/2,769.06 = 547.52/x
  3. Step 3: Cross multiply
    1,846.36x = 2,769.06 × 547.52
  4. Step 4: Simplify right side
    1,846.36x = 1,516,115.73
  5. Step 5: Solve for x
    x = 1,516,115.73/1,846.36
  6. Step 6: Final answer
    x = 821.14

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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.