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Finding the Fourth Proportional to 2,627.83, 3,625.32 and 1,744.12

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Solution

The fourth proportional to 2,627.83, 3,625.32 and 1,744.12 is: 2,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.83 : 3,625.32 = 1,744.12 : x
  2. Step 2: Convert to fraction form
    2,627.83/3,625.32 = 1,744.12/x
  3. Step 3: Cross multiply
    2,627.83x = 3,625.32 × 1,744.12
  4. Step 4: Simplify right side
    2,627.83x = 6,322,993.12
  5. Step 5: Solve for x
    x = 6,322,993.12/2,627.83
  6. Step 6: Final answer
    x = 2,406.17

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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.