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Finding the Fourth Proportional to 2,566.14, 3,849.20 and 618.36

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Solution

The fourth proportional to 2,566.14, 3,849.20 and 618.36 is: 927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.14 : 3,849.20 = 618.36 : x
  2. Step 2: Convert to fraction form
    2,566.14/3,849.20 = 618.36/x
  3. Step 3: Cross multiply
    2,566.14x = 3,849.20 × 618.36
  4. Step 4: Simplify right side
    2,566.14x = 2,380,191.31
  5. Step 5: Solve for x
    x = 2,380,191.31/2,566.14
  6. Step 6: Final answer
    x = 927.54

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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.