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Finding the Fourth Proportional to 2,054.88, 3,082.32 and 756.05

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Solution

The fourth proportional to 2,054.88, 3,082.32 and 756.05 is: 1,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.88 : 3,082.32 = 756.05 : x
  2. Step 2: Convert to fraction form
    2,054.88/3,082.32 = 756.05/x
  3. Step 3: Cross multiply
    2,054.88x = 3,082.32 × 756.05
  4. Step 4: Simplify right side
    2,054.88x = 2,330,372.62
  5. Step 5: Solve for x
    x = 2,330,372.62/2,054.88
  6. Step 6: Final answer
    x = 1,134.07

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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.