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Finding the Fourth Proportional to 2,615.76, 3,634.78 and 2,583.12

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Solution

The fourth proportional to 2,615.76, 3,634.78 and 2,583.12 is: 3,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.76 : 3,634.78 = 2,583.12 : x
  2. Step 2: Convert to fraction form
    2,615.76/3,634.78 = 2,583.12/x
  3. Step 3: Cross multiply
    2,615.76x = 3,634.78 × 2,583.12
  4. Step 4: Simplify right side
    2,615.76x = 9,389,072.91
  5. Step 5: Solve for x
    x = 9,389,072.91/2,615.76
  6. Step 6: Final answer
    x = 3,589.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.