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Finding the Fourth Proportional to 4,115.99, 6,173.69 and 1,342.60

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Solution

The fourth proportional to 4,115.99, 6,173.69 and 1,342.60 is: 2,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.99 : 6,173.69 = 1,342.60 : x
  2. Step 2: Convert to fraction form
    4,115.99/6,173.69 = 1,342.60/x
  3. Step 3: Cross multiply
    4,115.99x = 6,173.69 × 1,342.60
  4. Step 4: Simplify right side
    4,115.99x = 8,288,784.12
  5. Step 5: Solve for x
    x = 8,288,784.12/4,115.99
  6. Step 6: Final answer
    x = 2,013.80

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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.