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Finding the Fourth Proportional to 3,083.76, 4,255.66 and 1,686.60

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Solution

The fourth proportional to 3,083.76, 4,255.66 and 1,686.60 is: 2,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.76 : 4,255.66 = 1,686.60 : x
  2. Step 2: Convert to fraction form
    3,083.76/4,255.66 = 1,686.60/x
  3. Step 3: Cross multiply
    3,083.76x = 4,255.66 × 1,686.60
  4. Step 4: Simplify right side
    3,083.76x = 7,177,596.16
  5. Step 5: Solve for x
    x = 7,177,596.16/3,083.76
  6. Step 6: Final answer
    x = 2,327.55

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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.