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Finding the Fourth Proportional to 3,083.84, 4,255.72 and 1,686.60

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Solution

The fourth proportional to 3,083.84, 4,255.72 and 1,686.60 is: 2,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.84 : 4,255.72 = 1,686.60 : x
  2. Step 2: Convert to fraction form
    3,083.84/4,255.72 = 1,686.60/x
  3. Step 3: Cross multiply
    3,083.84x = 4,255.72 × 1,686.60
  4. Step 4: Simplify right side
    3,083.84x = 7,177,697.35
  5. Step 5: Solve for x
    x = 7,177,697.35/3,083.84
  6. Step 6: Final answer
    x = 2,327.52

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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.