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Finding the Fourth Proportional to 3,035.37, 4,553.08 and 814.30

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Solution

The fourth proportional to 3,035.37, 4,553.08 and 814.30 is: 1,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.37 : 4,553.08 = 814.30 : x
  2. Step 2: Convert to fraction form
    3,035.37/4,553.08 = 814.30/x
  3. Step 3: Cross multiply
    3,035.37x = 4,553.08 × 814.30
  4. Step 4: Simplify right side
    3,035.37x = 3,707,585.24
  5. Step 5: Solve for x
    x = 3,707,585.24/3,035.37
  6. Step 6: Final answer
    x = 1,221.46

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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.