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Finding the Fourth Proportional to 2,573.82, 3,860.79 and 818.82

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Solution

The fourth proportional to 2,573.82, 3,860.79 and 818.82 is: 1,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.82 : 3,860.79 = 818.82 : x
  2. Step 2: Convert to fraction form
    2,573.82/3,860.79 = 818.82/x
  3. Step 3: Cross multiply
    2,573.82x = 3,860.79 × 818.82
  4. Step 4: Simplify right side
    2,573.82x = 3,161,292.07
  5. Step 5: Solve for x
    x = 3,161,292.07/2,573.82
  6. Step 6: Final answer
    x = 1,228.25

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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.