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Finding the Fourth Proportional to 2,765.82, 4,148.76 and 818.04

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Solution

The fourth proportional to 2,765.82, 4,148.76 and 818.04 is: 1,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.82 : 4,148.76 = 818.04 : x
  2. Step 2: Convert to fraction form
    2,765.82/4,148.76 = 818.04/x
  3. Step 3: Cross multiply
    2,765.82x = 4,148.76 × 818.04
  4. Step 4: Simplify right side
    2,765.82x = 3,393,851.63
  5. Step 5: Solve for x
    x = 3,393,851.63/2,765.82
  6. Step 6: Final answer
    x = 1,227.07

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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.