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Finding the Fourth Proportional to 2,986.12, 4,477.02 and 1,425.16

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Solution

The fourth proportional to 2,986.12, 4,477.02 and 1,425.16 is: 2,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.12 : 4,477.02 = 1,425.16 : x
  2. Step 2: Convert to fraction form
    2,986.12/4,477.02 = 1,425.16/x
  3. Step 3: Cross multiply
    2,986.12x = 4,477.02 × 1,425.16
  4. Step 4: Simplify right side
    2,986.12x = 6,380,469.82
  5. Step 5: Solve for x
    x = 6,380,469.82/2,986.12
  6. Step 6: Final answer
    x = 2,136.71

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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.