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Finding the Fourth Proportional to 2,384.30, 3,576.29 and 825.05

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Solution

The fourth proportional to 2,384.30, 3,576.29 and 825.05 is: 1,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.30 : 3,576.29 = 825.05 : x
  2. Step 2: Convert to fraction form
    2,384.30/3,576.29 = 825.05/x
  3. Step 3: Cross multiply
    2,384.30x = 3,576.29 × 825.05
  4. Step 4: Simplify right side
    2,384.30x = 2,950,622.88
  5. Step 5: Solve for x
    x = 2,950,622.88/2,384.30
  6. Step 6: Final answer
    x = 1,237.52

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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.