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Finding the Fourth Proportional to 1,832.92, 2,748.75 and 600.02

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Solution

The fourth proportional to 1,832.92, 2,748.75 and 600.02 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.92 : 2,748.75 = 600.02 : x
  2. Step 2: Convert to fraction form
    1,832.92/2,748.75 = 600.02/x
  3. Step 3: Cross multiply
    1,832.92x = 2,748.75 × 600.02
  4. Step 4: Simplify right side
    1,832.92x = 1,649,304.98
  5. Step 5: Solve for x
    x = 1,649,304.98/1,832.92
  6. Step 6: Final answer
    x = 899.82

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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.