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Finding the Fourth Proportional to 1,832.39, 2,749.08 and 599.64

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Solution

The fourth proportional to 1,832.39, 2,749.08 and 599.64 is: 899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.39 : 2,749.08 = 599.64 : x
  2. Step 2: Convert to fraction form
    1,832.39/2,749.08 = 599.64/x
  3. Step 3: Cross multiply
    1,832.39x = 2,749.08 × 599.64
  4. Step 4: Simplify right side
    1,832.39x = 1,648,458.33
  5. Step 5: Solve for x
    x = 1,648,458.33/1,832.39
  6. Step 6: Final answer
    x = 899.62

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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.