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Finding the Fourth Proportional to 4,116.42, 6,170.18 and 1,650.78

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Solution

The fourth proportional to 4,116.42, 6,170.18 and 1,650.78 is: 2,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.42 : 6,170.18 = 1,650.78 : x
  2. Step 2: Convert to fraction form
    4,116.42/6,170.18 = 1,650.78/x
  3. Step 3: Cross multiply
    4,116.42x = 6,170.18 × 1,650.78
  4. Step 4: Simplify right side
    4,116.42x = 10,185,601.49
  5. Step 5: Solve for x
    x = 10,185,601.49/4,116.42
  6. Step 6: Final answer
    x = 2,474.38

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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.