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Finding the Fourth Proportional to 3,083.50, 4,255.23 and 1,686.25

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Solution

The fourth proportional to 3,083.50, 4,255.23 and 1,686.25 is: 2,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.50 : 4,255.23 = 1,686.25 : x
  2. Step 2: Convert to fraction form
    3,083.50/4,255.23 = 1,686.25/x
  3. Step 3: Cross multiply
    3,083.50x = 4,255.23 × 1,686.25
  4. Step 4: Simplify right side
    3,083.50x = 7,175,381.59
  5. Step 5: Solve for x
    x = 7,175,381.59/3,083.50
  6. Step 6: Final answer
    x = 2,327.03

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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.