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Finding the Fourth Proportional to 2,055.21, 3,082.02 and 738.57

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Solution

The fourth proportional to 2,055.21, 3,082.02 and 738.57 is: 1,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.21 : 3,082.02 = 738.57 : x
  2. Step 2: Convert to fraction form
    2,055.21/3,082.02 = 738.57/x
  3. Step 3: Cross multiply
    2,055.21x = 3,082.02 × 738.57
  4. Step 4: Simplify right side
    2,055.21x = 2,276,287.51
  5. Step 5: Solve for x
    x = 2,276,287.51/2,055.21
  6. Step 6: Final answer
    x = 1,107.57

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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.