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Finding the Fourth Proportional to 2,382.82, 3,576.31 and 923.00

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Solution

The fourth proportional to 2,382.82, 3,576.31 and 923.00 is: 1,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.82 : 3,576.31 = 923.00 : x
  2. Step 2: Convert to fraction form
    2,382.82/3,576.31 = 923.00/x
  3. Step 3: Cross multiply
    2,382.82x = 3,576.31 × 923.00
  4. Step 4: Simplify right side
    2,382.82x = 3,300,913.94
  5. Step 5: Solve for x
    x = 3,300,913.94/2,382.82
  6. Step 6: Final answer
    x = 1,385.30

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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.