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Finding the Fourth Proportional to 4,146.99, 6,218.31 and 1,224.90

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Solution

The fourth proportional to 4,146.99, 6,218.31 and 1,224.90 is: 1,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.99 : 6,218.31 = 1,224.90 : x
  2. Step 2: Convert to fraction form
    4,146.99/6,218.31 = 1,224.90/x
  3. Step 3: Cross multiply
    4,146.99x = 6,218.31 × 1,224.90
  4. Step 4: Simplify right side
    4,146.99x = 7,616,807.92
  5. Step 5: Solve for x
    x = 7,616,807.92/4,146.99
  6. Step 6: Final answer
    x = 1,836.71

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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.