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Finding the Fourth Proportional to 2,627.68, 3,625.94 and 1,619.23

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Solution

The fourth proportional to 2,627.68, 3,625.94 and 1,619.23 is: 2,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.68 : 3,625.94 = 1,619.23 : x
  2. Step 2: Convert to fraction form
    2,627.68/3,625.94 = 1,619.23/x
  3. Step 3: Cross multiply
    2,627.68x = 3,625.94 × 1,619.23
  4. Step 4: Simplify right side
    2,627.68x = 5,871,225.81
  5. Step 5: Solve for x
    x = 5,871,225.81/2,627.68
  6. Step 6: Final answer
    x = 2,234.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.