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Finding the Fourth Proportional to 1,832.37, 2,528.07 and 1,169.43

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Solution

The fourth proportional to 1,832.37, 2,528.07 and 1,169.43 is: 1,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.37 : 2,528.07 = 1,169.43 : x
  2. Step 2: Convert to fraction form
    1,832.37/2,528.07 = 1,169.43/x
  3. Step 3: Cross multiply
    1,832.37x = 2,528.07 × 1,169.43
  4. Step 4: Simplify right side
    1,832.37x = 2,956,400.90
  5. Step 5: Solve for x
    x = 2,956,400.90/1,832.37
  6. Step 6: Final answer
    x = 1,613.43

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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.