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Finding the Fourth Proportional to 2,984.76, 4,120.76 and 1,938.80

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Solution

The fourth proportional to 2,984.76, 4,120.76 and 1,938.80 is: 2,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.76 : 4,120.76 = 1,938.80 : x
  2. Step 2: Convert to fraction form
    2,984.76/4,120.76 = 1,938.80/x
  3. Step 3: Cross multiply
    2,984.76x = 4,120.76 × 1,938.80
  4. Step 4: Simplify right side
    2,984.76x = 7,989,329.49
  5. Step 5: Solve for x
    x = 7,989,329.49/2,984.76
  6. Step 6: Final answer
    x = 2,676.71

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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.