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Finding the Fourth Proportional to 2,458.05, 3,687.18 and 814.74

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Solution

The fourth proportional to 2,458.05, 3,687.18 and 814.74 is: 1,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.05 : 3,687.18 = 814.74 : x
  2. Step 2: Convert to fraction form
    2,458.05/3,687.18 = 814.74/x
  3. Step 3: Cross multiply
    2,458.05x = 3,687.18 × 814.74
  4. Step 4: Simplify right side
    2,458.05x = 3,004,093.03
  5. Step 5: Solve for x
    x = 3,004,093.03/2,458.05
  6. Step 6: Final answer
    x = 1,222.14

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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.