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Finding the Fourth Proportional to 2,997.75, 4,141.98 and 2,156.79

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Solution

The fourth proportional to 2,997.75, 4,141.98 and 2,156.79 is: 2,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.75 : 4,141.98 = 2,156.79 : x
  2. Step 2: Convert to fraction form
    2,997.75/4,141.98 = 2,156.79/x
  3. Step 3: Cross multiply
    2,997.75x = 4,141.98 × 2,156.79
  4. Step 4: Simplify right side
    2,997.75x = 8,933,381.04
  5. Step 5: Solve for x
    x = 8,933,381.04/2,997.75
  6. Step 6: Final answer
    x = 2,980.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.