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Finding the Fourth Proportional to 2,978.89, 4,110.18 and 1,984.70

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Solution

The fourth proportional to 2,978.89, 4,110.18 and 1,984.70 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.89 : 4,110.18 = 1,984.70 : x
  2. Step 2: Convert to fraction form
    2,978.89/4,110.18 = 1,984.70/x
  3. Step 3: Cross multiply
    2,978.89x = 4,110.18 × 1,984.70
  4. Step 4: Simplify right side
    2,978.89x = 8,157,474.25
  5. Step 5: Solve for x
    x = 8,157,474.25/2,978.89
  6. Step 6: Final answer
    x = 2,738.43

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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.