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Finding the Fourth Proportional to 2,628.64, 3,627.55 and 1,449.75

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Solution

The fourth proportional to 2,628.64, 3,627.55 and 1,449.75 is: 2,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.64 : 3,627.55 = 1,449.75 : x
  2. Step 2: Convert to fraction form
    2,628.64/3,627.55 = 1,449.75/x
  3. Step 3: Cross multiply
    2,628.64x = 3,627.55 × 1,449.75
  4. Step 4: Simplify right side
    2,628.64x = 5,259,040.61
  5. Step 5: Solve for x
    x = 5,259,040.61/2,628.64
  6. Step 6: Final answer
    x = 2,000.67

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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.