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Finding the Fourth Proportional to 4,151.59, 6,229.05 and 1,686.60

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Solution

The fourth proportional to 4,151.59, 6,229.05 and 1,686.60 is: 2,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.59 : 6,229.05 = 1,686.60 : x
  2. Step 2: Convert to fraction form
    4,151.59/6,229.05 = 1,686.60/x
  3. Step 3: Cross multiply
    4,151.59x = 6,229.05 × 1,686.60
  4. Step 4: Simplify right side
    4,151.59x = 10,505,915.73
  5. Step 5: Solve for x
    x = 10,505,915.73/4,151.59
  6. Step 6: Final answer
    x = 2,530.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.