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Finding the Fourth Proportional to 1,846.04, 2,768.23 and 675.69

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Solution

The fourth proportional to 1,846.04, 2,768.23 and 675.69 is: 1,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.04 : 2,768.23 = 675.69 : x
  2. Step 2: Convert to fraction form
    1,846.04/2,768.23 = 675.69/x
  3. Step 3: Cross multiply
    1,846.04x = 2,768.23 × 675.69
  4. Step 4: Simplify right side
    1,846.04x = 1,870,467.56
  5. Step 5: Solve for x
    x = 1,870,467.56/1,846.04
  6. Step 6: Final answer
    x = 1,013.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.