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Finding the Fourth Proportional to 2,452.81, 3,676.71 and 1,064.98

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Solution

The fourth proportional to 2,452.81, 3,676.71 and 1,064.98 is: 1,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.81 : 3,676.71 = 1,064.98 : x
  2. Step 2: Convert to fraction form
    2,452.81/3,676.71 = 1,064.98/x
  3. Step 3: Cross multiply
    2,452.81x = 3,676.71 × 1,064.98
  4. Step 4: Simplify right side
    2,452.81x = 3,915,622.62
  5. Step 5: Solve for x
    x = 3,915,622.62/2,452.81
  6. Step 6: Final answer
    x = 1,596.38

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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.