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Finding the Fourth Proportional to 1,832.42, 2,749.29 and 1,102.49

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Solution

The fourth proportional to 1,832.42, 2,749.29 and 1,102.49 is: 1,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.42 : 2,749.29 = 1,102.49 : x
  2. Step 2: Convert to fraction form
    1,832.42/2,749.29 = 1,102.49/x
  3. Step 3: Cross multiply
    1,832.42x = 2,749.29 × 1,102.49
  4. Step 4: Simplify right side
    1,832.42x = 3,031,064.73
  5. Step 5: Solve for x
    x = 3,031,064.73/1,832.42
  6. Step 6: Final answer
    x = 1,654.13

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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.