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Finding the Fourth Proportional to 2,453.20, 3,679.56 and 992.48

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Solution

The fourth proportional to 2,453.20, 3,679.56 and 992.48 is: 1,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.20 : 3,679.56 = 992.48 : x
  2. Step 2: Convert to fraction form
    2,453.20/3,679.56 = 992.48/x
  3. Step 3: Cross multiply
    2,453.20x = 3,679.56 × 992.48
  4. Step 4: Simplify right side
    2,453.20x = 3,651,889.71
  5. Step 5: Solve for x
    x = 3,651,889.71/2,453.20
  6. Step 6: Final answer
    x = 1,488.62

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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.