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Finding the Fourth Proportional to 2,452.56, 3,676.76 and 1,064.85

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Solution

The fourth proportional to 2,452.56, 3,676.76 and 1,064.85 is: 1,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.56 : 3,676.76 = 1,064.85 : x
  2. Step 2: Convert to fraction form
    2,452.56/3,676.76 = 1,064.85/x
  3. Step 3: Cross multiply
    2,452.56x = 3,676.76 × 1,064.85
  4. Step 4: Simplify right side
    2,452.56x = 3,915,200.55
  5. Step 5: Solve for x
    x = 3,915,200.55/2,452.56
  6. Step 6: Final answer
    x = 1,596.37

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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.