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Finding the Fourth Proportional to 2,383.52, 3,576.30 and 997.18

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Solution

The fourth proportional to 2,383.52, 3,576.30 and 997.18 is: 1,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.52 : 3,576.30 = 997.18 : x
  2. Step 2: Convert to fraction form
    2,383.52/3,576.30 = 997.18/x
  3. Step 3: Cross multiply
    2,383.52x = 3,576.30 × 997.18
  4. Step 4: Simplify right side
    2,383.52x = 3,566,214.83
  5. Step 5: Solve for x
    x = 3,566,214.83/2,383.52
  6. Step 6: Final answer
    x = 1,496.20

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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.