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Finding the Fourth Proportional to 4,115.65, 6,173.34 and 1,649.82

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Solution

The fourth proportional to 4,115.65, 6,173.34 and 1,649.82 is: 2,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.65 : 6,173.34 = 1,649.82 : x
  2. Step 2: Convert to fraction form
    4,115.65/6,173.34 = 1,649.82/x
  3. Step 3: Cross multiply
    4,115.65x = 6,173.34 × 1,649.82
  4. Step 4: Simplify right side
    4,115.65x = 10,184,899.80
  5. Step 5: Solve for x
    x = 10,184,899.80/4,115.65
  6. Step 6: Final answer
    x = 2,474.68

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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.