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Finding the Fourth Proportional to 1,628.38, 2,442.56 and 395.79

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Solution

The fourth proportional to 1,628.38, 2,442.56 and 395.79 is: 593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.38 : 2,442.56 = 395.79 : x
  2. Step 2: Convert to fraction form
    1,628.38/2,442.56 = 395.79/x
  3. Step 3: Cross multiply
    1,628.38x = 2,442.56 × 395.79
  4. Step 4: Simplify right side
    1,628.38x = 966,738.84
  5. Step 5: Solve for x
    x = 966,738.84/1,628.38
  6. Step 6: Final answer
    x = 593.68

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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.