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Finding the Fourth Proportional to 1,650.11, 2,475.57 and 826.34

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Solution

The fourth proportional to 1,650.11, 2,475.57 and 826.34 is: 1,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.11 : 2,475.57 = 826.34 : x
  2. Step 2: Convert to fraction form
    1,650.11/2,475.57 = 826.34/x
  3. Step 3: Cross multiply
    1,650.11x = 2,475.57 × 826.34
  4. Step 4: Simplify right side
    1,650.11x = 2,045,662.51
  5. Step 5: Solve for x
    x = 2,045,662.51/1,650.11
  6. Step 6: Final answer
    x = 1,239.71

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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.