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Finding the Fourth Proportional to 3,086.64, 4,612.98 and 2,255.43

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Solution

The fourth proportional to 3,086.64, 4,612.98 and 2,255.43 is: 3,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.64 : 4,612.98 = 2,255.43 : x
  2. Step 2: Convert to fraction form
    3,086.64/4,612.98 = 2,255.43/x
  3. Step 3: Cross multiply
    3,086.64x = 4,612.98 × 2,255.43
  4. Step 4: Simplify right side
    3,086.64x = 10,404,253.48
  5. Step 5: Solve for x
    x = 10,404,253.48/3,086.64
  6. Step 6: Final answer
    x = 3,370.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.