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Finding the Fourth Proportional to 1,676.55, 2,514.06 and 896.42

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Solution

The fourth proportional to 1,676.55, 2,514.06 and 896.42 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.55 : 2,514.06 = 896.42 : x
  2. Step 2: Convert to fraction form
    1,676.55/2,514.06 = 896.42/x
  3. Step 3: Cross multiply
    1,676.55x = 2,514.06 × 896.42
  4. Step 4: Simplify right side
    1,676.55x = 2,253,648.33
  5. Step 5: Solve for x
    x = 2,253,648.33/1,676.55
  6. Step 6: Final answer
    x = 1,344.22

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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.