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Finding the Fourth Proportional to 2,627.45, 3,625.87 and 1,448.50

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Solution

The fourth proportional to 2,627.45, 3,625.87 and 1,448.50 is: 1,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.45 : 3,625.87 = 1,448.50 : x
  2. Step 2: Convert to fraction form
    2,627.45/3,625.87 = 1,448.50/x
  3. Step 3: Cross multiply
    2,627.45x = 3,625.87 × 1,448.50
  4. Step 4: Simplify right side
    2,627.45x = 5,252,072.70
  5. Step 5: Solve for x
    x = 5,252,072.70/2,627.45
  6. Step 6: Final answer
    x = 1,998.92

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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.