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Finding the Fourth Proportional to 2,452.69, 3,679.76 and 992.89

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Solution

The fourth proportional to 2,452.69, 3,679.76 and 992.89 is: 1,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.69 : 3,679.76 = 992.89 : x
  2. Step 2: Convert to fraction form
    2,452.69/3,679.76 = 992.89/x
  3. Step 3: Cross multiply
    2,452.69x = 3,679.76 × 992.89
  4. Step 4: Simplify right side
    2,452.69x = 3,653,596.91
  5. Step 5: Solve for x
    x = 3,653,596.91/2,452.69
  6. Step 6: Final answer
    x = 1,489.63

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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.