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Finding the Fourth Proportional to 2,384.24, 3,576.25 and 923.30

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Solution

The fourth proportional to 2,384.24, 3,576.25 and 923.30 is: 1,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.24 : 3,576.25 = 923.30 : x
  2. Step 2: Convert to fraction form
    2,384.24/3,576.25 = 923.30/x
  3. Step 3: Cross multiply
    2,384.24x = 3,576.25 × 923.30
  4. Step 4: Simplify right side
    2,384.24x = 3,301,948.31
  5. Step 5: Solve for x
    x = 3,301,948.31/2,384.24
  6. Step 6: Final answer
    x = 1,384.91

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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.