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Finding the Fourth Proportional to 1,929.52, 2,662.62 and 1,183.48

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Solution

The fourth proportional to 1,929.52, 2,662.62 and 1,183.48 is: 1,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.52 : 2,662.62 = 1,183.48 : x
  2. Step 2: Convert to fraction form
    1,929.52/2,662.62 = 1,183.48/x
  3. Step 3: Cross multiply
    1,929.52x = 2,662.62 × 1,183.48
  4. Step 4: Simplify right side
    1,929.52x = 3,151,157.52
  5. Step 5: Solve for x
    x = 3,151,157.52/1,929.52
  6. Step 6: Final answer
    x = 1,633.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.