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Finding the Fourth Proportional to 2,548.47, 3,823.25 and 818.31

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Solution

The fourth proportional to 2,548.47, 3,823.25 and 818.31 is: 1,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.47 : 3,823.25 = 818.31 : x
  2. Step 2: Convert to fraction form
    2,548.47/3,823.25 = 818.31/x
  3. Step 3: Cross multiply
    2,548.47x = 3,823.25 × 818.31
  4. Step 4: Simplify right side
    2,548.47x = 3,128,599.62
  5. Step 5: Solve for x
    x = 3,128,599.62/2,548.47
  6. Step 6: Final answer
    x = 1,227.64

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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.