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Finding the Fourth Proportional to 1,845.56, 2,769.06 and 675.63

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Solution

The fourth proportional to 1,845.56, 2,769.06 and 675.63 is: 1,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.56 : 2,769.06 = 675.63 : x
  2. Step 2: Convert to fraction form
    1,845.56/2,769.06 = 675.63/x
  3. Step 3: Cross multiply
    1,845.56x = 2,769.06 × 675.63
  4. Step 4: Simplify right side
    1,845.56x = 1,870,860.01
  5. Step 5: Solve for x
    x = 1,870,860.01/1,845.56
  6. Step 6: Final answer
    x = 1,013.71

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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.