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Finding the Fourth Proportional to 2,566.64, 3,540.80 and 1,634.56

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Solution

The fourth proportional to 2,566.64, 3,540.80 and 1,634.56 is: 2,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.64 : 3,540.80 = 1,634.56 : x
  2. Step 2: Convert to fraction form
    2,566.64/3,540.80 = 1,634.56/x
  3. Step 3: Cross multiply
    2,566.64x = 3,540.80 × 1,634.56
  4. Step 4: Simplify right side
    2,566.64x = 5,787,650.05
  5. Step 5: Solve for x
    x = 5,787,650.05/2,566.64
  6. Step 6: Final answer
    x = 2,254.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.