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Finding the Fourth Proportional to 1,629.19, 2,443.78 and 396.59

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Solution

The fourth proportional to 1,629.19, 2,443.78 and 396.59 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.19 : 2,443.78 = 396.59 : x
  2. Step 2: Convert to fraction form
    1,629.19/2,443.78 = 396.59/x
  3. Step 3: Cross multiply
    1,629.19x = 2,443.78 × 396.59
  4. Step 4: Simplify right side
    1,629.19x = 969,178.71
  5. Step 5: Solve for x
    x = 969,178.71/1,629.19
  6. Step 6: Final answer
    x = 594.88

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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.