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Finding the Fourth Proportional to 1,883.55, 2,821.23 and 1,338.17

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Solution

The fourth proportional to 1,883.55, 2,821.23 and 1,338.17 is: 2,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.55 : 2,821.23 = 1,338.17 : x
  2. Step 2: Convert to fraction form
    1,883.55/2,821.23 = 1,338.17/x
  3. Step 3: Cross multiply
    1,883.55x = 2,821.23 × 1,338.17
  4. Step 4: Simplify right side
    1,883.55x = 3,775,287.11
  5. Step 5: Solve for x
    x = 3,775,287.11/1,883.55
  6. Step 6: Final answer
    x = 2,004.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.