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Finding the Fourth Proportional to 2,452.65, 3,676.90 and 1,064.94

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Solution

The fourth proportional to 2,452.65, 3,676.90 and 1,064.94 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.65 : 3,676.90 = 1,064.94 : x
  2. Step 2: Convert to fraction form
    2,452.65/3,676.90 = 1,064.94/x
  3. Step 3: Cross multiply
    2,452.65x = 3,676.90 × 1,064.94
  4. Step 4: Simplify right side
    2,452.65x = 3,915,663.43
  5. Step 5: Solve for x
    x = 3,915,663.43/2,452.65
  6. Step 6: Final answer
    x = 1,596.51

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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.