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Finding the Fourth Proportional to 2,627.50, 3,625.98 and 1,448.68

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Solution

The fourth proportional to 2,627.50, 3,625.98 and 1,448.68 is: 1,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.50 : 3,625.98 = 1,448.68 : x
  2. Step 2: Convert to fraction form
    2,627.50/3,625.98 = 1,448.68/x
  3. Step 3: Cross multiply
    2,627.50x = 3,625.98 × 1,448.68
  4. Step 4: Simplify right side
    2,627.50x = 5,252,884.71
  5. Step 5: Solve for x
    x = 5,252,884.71/2,627.50
  6. Step 6: Final answer
    x = 1,999.19

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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.