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Finding the Fourth Proportional to 2,725.80, 4,082.22 and 1,943.88

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Solution

The fourth proportional to 2,725.80, 4,082.22 and 1,943.88 is: 2,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.80 : 4,082.22 = 1,943.88 : x
  2. Step 2: Convert to fraction form
    2,725.80/4,082.22 = 1,943.88/x
  3. Step 3: Cross multiply
    2,725.80x = 4,082.22 × 1,943.88
  4. Step 4: Simplify right side
    2,725.80x = 7,935,345.81
  5. Step 5: Solve for x
    x = 7,935,345.81/2,725.80
  6. Step 6: Final answer
    x = 2,911.20

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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.