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Finding the Fourth Proportional to 2,980.96, 4,451.09 and 2,543.56

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Solution

The fourth proportional to 2,980.96, 4,451.09 and 2,543.56 is: 3,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.96 : 4,451.09 = 2,543.56 : x
  2. Step 2: Convert to fraction form
    2,980.96/4,451.09 = 2,543.56/x
  3. Step 3: Cross multiply
    2,980.96x = 4,451.09 × 2,543.56
  4. Step 4: Simplify right side
    2,980.96x = 11,321,614.48
  5. Step 5: Solve for x
    x = 11,321,614.48/2,980.96
  6. Step 6: Final answer
    x = 3,797.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.