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Finding the Fourth Proportional to 2,343.62, 3,513.23 and 803.54

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Solution

The fourth proportional to 2,343.62, 3,513.23 and 803.54 is: 1,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.62 : 3,513.23 = 803.54 : x
  2. Step 2: Convert to fraction form
    2,343.62/3,513.23 = 803.54/x
  3. Step 3: Cross multiply
    2,343.62x = 3,513.23 × 803.54
  4. Step 4: Simplify right side
    2,343.62x = 2,823,020.83
  5. Step 5: Solve for x
    x = 2,823,020.83/2,343.62
  6. Step 6: Final answer
    x = 1,204.56

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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.