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Finding the Fourth Proportional to 4,115.60, 6,174.04 and 1,650.48

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Solution

The fourth proportional to 4,115.60, 6,174.04 and 1,650.48 is: 2,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.60 : 6,174.04 = 1,650.48 : x
  2. Step 2: Convert to fraction form
    4,115.60/6,174.04 = 1,650.48/x
  3. Step 3: Cross multiply
    4,115.60x = 6,174.04 × 1,650.48
  4. Step 4: Simplify right side
    4,115.60x = 10,190,129.54
  5. Step 5: Solve for x
    x = 10,190,129.54/4,115.60
  6. Step 6: Final answer
    x = 2,475.98

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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.