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Finding the Fourth Proportional to 1,628.60, 2,442.87 and 396.00

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Solution

The fourth proportional to 1,628.60, 2,442.87 and 396.00 is: 594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.60 : 2,442.87 = 396.00 : x
  2. Step 2: Convert to fraction form
    1,628.60/2,442.87 = 396.00/x
  3. Step 3: Cross multiply
    1,628.60x = 2,442.87 × 396.00
  4. Step 4: Simplify right side
    1,628.60x = 967,383.62
  5. Step 5: Solve for x
    x = 967,383.62/1,628.60
  6. Step 6: Final answer
    x = 594.00

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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.