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Finding the Fourth Proportional to 2,385.28, 3,576.72 and 923.68

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Solution

The fourth proportional to 2,385.28, 3,576.72 and 923.68 is: 1,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.28 : 3,576.72 = 923.68 : x
  2. Step 2: Convert to fraction form
    2,385.28/3,576.72 = 923.68/x
  3. Step 3: Cross multiply
    2,385.28x = 3,576.72 × 923.68
  4. Step 4: Simplify right side
    2,385.28x = 3,303,744.73
  5. Step 5: Solve for x
    x = 3,303,744.73/2,385.28
  6. Step 6: Final answer
    x = 1,385.06

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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.