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Finding the Fourth Proportional to 1,846.30, 2,769.87 and 613.61

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Solution

The fourth proportional to 1,846.30, 2,769.87 and 613.61 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.30 : 2,769.87 = 613.61 : x
  2. Step 2: Convert to fraction form
    1,846.30/2,769.87 = 613.61/x
  3. Step 3: Cross multiply
    1,846.30x = 2,769.87 × 613.61
  4. Step 4: Simplify right side
    1,846.30x = 1,699,619.93
  5. Step 5: Solve for x
    x = 1,699,619.93/1,846.30
  6. Step 6: Final answer
    x = 920.55

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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.