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Finding the Fourth Proportional to 2,628.70, 3,627.60 and 1,449.74

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Solution

The fourth proportional to 2,628.70, 3,627.60 and 1,449.74 is: 2,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.70 : 3,627.60 = 1,449.74 : x
  2. Step 2: Convert to fraction form
    2,628.70/3,627.60 = 1,449.74/x
  3. Step 3: Cross multiply
    2,628.70x = 3,627.60 × 1,449.74
  4. Step 4: Simplify right side
    2,628.70x = 5,259,076.82
  5. Step 5: Solve for x
    x = 5,259,076.82/2,628.70
  6. Step 6: Final answer
    x = 2,000.64

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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.