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Finding the Fourth Proportional to 4,100.66, 6,146.58 and 2,018.24

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Solution

The fourth proportional to 4,100.66, 6,146.58 and 2,018.24 is: 3,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.66 : 6,146.58 = 2,018.24 : x
  2. Step 2: Convert to fraction form
    4,100.66/6,146.58 = 2,018.24/x
  3. Step 3: Cross multiply
    4,100.66x = 6,146.58 × 2,018.24
  4. Step 4: Simplify right side
    4,100.66x = 12,405,273.62
  5. Step 5: Solve for x
    x = 12,405,273.62/4,100.66
  6. Step 6: Final answer
    x = 3,025.19

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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.