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Finding the Fourth Proportional to 4,077, 6,115.80 and 1,341

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Solution

The fourth proportional to 4,077, 6,115.80 and 1,341 is: 2,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 6,115.80 = 1,341 : x
  2. Step 2: Convert to fraction form
    4,077/6,115.80 = 1,341/x
  3. Step 3: Cross multiply
    4,077x = 6,115.80 × 1,341
  4. Step 4: Simplify right side
    4,077x = 8,201,287.80
  5. Step 5: Solve for x
    x = 8,201,287.80/4,077
  6. Step 6: Final answer
    x = 2,011.60

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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.