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Finding the Fourth Proportional to 2,458.27, 3,687.68 and 814.69

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Solution

The fourth proportional to 2,458.27, 3,687.68 and 814.69 is: 1,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.27 : 3,687.68 = 814.69 : x
  2. Step 2: Convert to fraction form
    2,458.27/3,687.68 = 814.69/x
  3. Step 3: Cross multiply
    2,458.27x = 3,687.68 × 814.69
  4. Step 4: Simplify right side
    2,458.27x = 3,004,316.02
  5. Step 5: Solve for x
    x = 3,004,316.02/2,458.27
  6. Step 6: Final answer
    x = 1,222.13

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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.