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Finding the Fourth Proportional to 2,003.70, 2,756.72 and 1,949.03

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Solution

The fourth proportional to 2,003.70, 2,756.72 and 1,949.03 is: 2,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.70 : 2,756.72 = 1,949.03 : x
  2. Step 2: Convert to fraction form
    2,003.70/2,756.72 = 1,949.03/x
  3. Step 3: Cross multiply
    2,003.70x = 2,756.72 × 1,949.03
  4. Step 4: Simplify right side
    2,003.70x = 5,372,921.07
  5. Step 5: Solve for x
    x = 5,372,921.07/2,003.70
  6. Step 6: Final answer
    x = 2,681.50

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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.