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Finding the Fourth Proportional to 2,659.44, 3,671.32 and 1,824.56

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Solution

The fourth proportional to 2,659.44, 3,671.32 and 1,824.56 is: 2,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.44 : 3,671.32 = 1,824.56 : x
  2. Step 2: Convert to fraction form
    2,659.44/3,671.32 = 1,824.56/x
  3. Step 3: Cross multiply
    2,659.44x = 3,671.32 × 1,824.56
  4. Step 4: Simplify right side
    2,659.44x = 6,698,543.62
  5. Step 5: Solve for x
    x = 6,698,543.62/2,659.44
  6. Step 6: Final answer
    x = 2,518.78

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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.