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Finding the Fourth Proportional to 1,900.45, 2,622.81 and 1,114.48

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Solution

The fourth proportional to 1,900.45, 2,622.81 and 1,114.48 is: 1,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.45 : 2,622.81 = 1,114.48 : x
  2. Step 2: Convert to fraction form
    1,900.45/2,622.81 = 1,114.48/x
  3. Step 3: Cross multiply
    1,900.45x = 2,622.81 × 1,114.48
  4. Step 4: Simplify right side
    1,900.45x = 2,923,069.29
  5. Step 5: Solve for x
    x = 2,923,069.29/1,900.45
  6. Step 6: Final answer
    x = 1,538.09

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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.