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Finding the Fourth Proportional to 3,077.88, 4,617.96 and 1,846.16

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Solution

The fourth proportional to 3,077.88, 4,617.96 and 1,846.16 is: 2,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.88 : 4,617.96 = 1,846.16 : x
  2. Step 2: Convert to fraction form
    3,077.88/4,617.96 = 1,846.16/x
  3. Step 3: Cross multiply
    3,077.88x = 4,617.96 × 1,846.16
  4. Step 4: Simplify right side
    3,077.88x = 8,525,493.03
  5. Step 5: Solve for x
    x = 8,525,493.03/3,077.88
  6. Step 6: Final answer
    x = 2,769.92

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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.