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Finding the Fourth Proportional to 1,629.60, 2,442.80 and 1,456.80

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Solution

The fourth proportional to 1,629.60, 2,442.80 and 1,456.80 is: 2,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.60 : 2,442.80 = 1,456.80 : x
  2. Step 2: Convert to fraction form
    1,629.60/2,442.80 = 1,456.80/x
  3. Step 3: Cross multiply
    1,629.60x = 2,442.80 × 1,456.80
  4. Step 4: Simplify right side
    1,629.60x = 3,558,671.04
  5. Step 5: Solve for x
    x = 3,558,671.04/1,629.60
  6. Step 6: Final answer
    x = 2,183.77

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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.