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Finding the Fourth Proportional to 4,114.91, 6,172.34 and 1,649.70

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Solution

The fourth proportional to 4,114.91, 6,172.34 and 1,649.70 is: 2,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.91 : 6,172.34 = 1,649.70 : x
  2. Step 2: Convert to fraction form
    4,114.91/6,172.34 = 1,649.70/x
  3. Step 3: Cross multiply
    4,114.91x = 6,172.34 × 1,649.70
  4. Step 4: Simplify right side
    4,114.91x = 10,182,510.33
  5. Step 5: Solve for x
    x = 10,182,510.33/4,114.91
  6. Step 6: Final answer
    x = 2,474.54

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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.