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Finding the Fourth Proportional to 2,628.82, 3,625.72 and 1,684.70

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Solution

The fourth proportional to 2,628.82, 3,625.72 and 1,684.70 is: 2,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.82 : 3,625.72 = 1,684.70 : x
  2. Step 2: Convert to fraction form
    2,628.82/3,625.72 = 1,684.70/x
  3. Step 3: Cross multiply
    2,628.82x = 3,625.72 × 1,684.70
  4. Step 4: Simplify right side
    2,628.82x = 6,108,250.48
  5. Step 5: Solve for x
    x = 6,108,250.48/2,628.82
  6. Step 6: Final answer
    x = 2,323.57

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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.