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Finding the Fourth Proportional to 2,548.69, 3,824.33 and 1,161.84

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Solution

The fourth proportional to 2,548.69, 3,824.33 and 1,161.84 is: 1,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.69 : 3,824.33 = 1,161.84 : x
  2. Step 2: Convert to fraction form
    2,548.69/3,824.33 = 1,161.84/x
  3. Step 3: Cross multiply
    2,548.69x = 3,824.33 × 1,161.84
  4. Step 4: Simplify right side
    2,548.69x = 4,443,276.81
  5. Step 5: Solve for x
    x = 4,443,276.81/2,548.69
  6. Step 6: Final answer
    x = 1,743.36

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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.