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Finding the Fourth Proportional to 1,938.99, 2,676.20 and 1,153.50

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Solution

The fourth proportional to 1,938.99, 2,676.20 and 1,153.50 is: 1,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.99 : 2,676.20 = 1,153.50 : x
  2. Step 2: Convert to fraction form
    1,938.99/2,676.20 = 1,153.50/x
  3. Step 3: Cross multiply
    1,938.99x = 2,676.20 × 1,153.50
  4. Step 4: Simplify right side
    1,938.99x = 3,086,996.70
  5. Step 5: Solve for x
    x = 3,086,996.70/1,938.99
  6. Step 6: Final answer
    x = 1,592.06

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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.