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Finding the Fourth Proportional to 1,629.07, 2,443.61 and 396.47

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Solution

The fourth proportional to 1,629.07, 2,443.61 and 396.47 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.07 : 2,443.61 = 396.47 : x
  2. Step 2: Convert to fraction form
    1,629.07/2,443.61 = 396.47/x
  3. Step 3: Cross multiply
    1,629.07x = 2,443.61 × 396.47
  4. Step 4: Simplify right side
    1,629.07x = 968,818.06
  5. Step 5: Solve for x
    x = 968,818.06/1,629.07
  6. Step 6: Final answer
    x = 594.71

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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.