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Finding the Fourth Proportional to 2,551.45, 3,828.65 and 992.53

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Solution

The fourth proportional to 2,551.45, 3,828.65 and 992.53 is: 1,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.45 : 3,828.65 = 992.53 : x
  2. Step 2: Convert to fraction form
    2,551.45/3,828.65 = 992.53/x
  3. Step 3: Cross multiply
    2,551.45x = 3,828.65 × 992.53
  4. Step 4: Simplify right side
    2,551.45x = 3,800,048.81
  5. Step 5: Solve for x
    x = 3,800,048.81/2,551.45
  6. Step 6: Final answer
    x = 1,489.37

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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.