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Finding the Fourth Proportional to 2,054.40, 3,082.02 and 755.82

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Solution

The fourth proportional to 2,054.40, 3,082.02 and 755.82 is: 1,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.40 : 3,082.02 = 755.82 : x
  2. Step 2: Convert to fraction form
    2,054.40/3,082.02 = 755.82/x
  3. Step 3: Cross multiply
    2,054.40x = 3,082.02 × 755.82
  4. Step 4: Simplify right side
    2,054.40x = 2,329,452.36
  5. Step 5: Solve for x
    x = 2,329,452.36/2,054.40
  6. Step 6: Final answer
    x = 1,133.88

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Why These Related Problems?

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