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Finding the Fourth Proportional to 1,846.56, 2,769.84 and 459.89

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Solution

The fourth proportional to 1,846.56, 2,769.84 and 459.89 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.56 : 2,769.84 = 459.89 : x
  2. Step 2: Convert to fraction form
    1,846.56/2,769.84 = 459.89/x
  3. Step 3: Cross multiply
    1,846.56x = 2,769.84 × 459.89
  4. Step 4: Simplify right side
    1,846.56x = 1,273,821.72
  5. Step 5: Solve for x
    x = 1,273,821.72/1,846.56
  6. Step 6: Final answer
    x = 689.84

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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.