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Finding the Fourth Proportional to 2,771.75, 4,157.63 and 1,616.69

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Solution

The fourth proportional to 2,771.75, 4,157.63 and 1,616.69 is: 2,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.75 : 4,157.63 = 1,616.69 : x
  2. Step 2: Convert to fraction form
    2,771.75/4,157.63 = 1,616.69/x
  3. Step 3: Cross multiply
    2,771.75x = 4,157.63 × 1,616.69
  4. Step 4: Simplify right side
    2,771.75x = 6,721,598.84
  5. Step 5: Solve for x
    x = 6,721,598.84/2,771.75
  6. Step 6: Final answer
    x = 2,425.04

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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.