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Finding the Fourth Proportional to 1,846.31, 2,769.39 and 750.38

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Solution

The fourth proportional to 1,846.31, 2,769.39 and 750.38 is: 1,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.31 : 2,769.39 = 750.38 : x
  2. Step 2: Convert to fraction form
    1,846.31/2,769.39 = 750.38/x
  3. Step 3: Cross multiply
    1,846.31x = 2,769.39 × 750.38
  4. Step 4: Simplify right side
    1,846.31x = 2,078,081.02
  5. Step 5: Solve for x
    x = 2,078,081.02/1,846.31
  6. Step 6: Final answer
    x = 1,125.54

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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.