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Finding the Fourth Proportional to 1,676.46, 2,529.71 and 1,609.04

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Solution

The fourth proportional to 1,676.46, 2,529.71 and 1,609.04 is: 2,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.46 : 2,529.71 = 1,609.04 : x
  2. Step 2: Convert to fraction form
    1,676.46/2,529.71 = 1,609.04/x
  3. Step 3: Cross multiply
    1,676.46x = 2,529.71 × 1,609.04
  4. Step 4: Simplify right side
    1,676.46x = 4,070,383.88
  5. Step 5: Solve for x
    x = 4,070,383.88/1,676.46
  6. Step 6: Final answer
    x = 2,427.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.