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Finding the Fourth Proportional to 2,235.52, 3,354.08 and 1,082.08

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Solution

The fourth proportional to 2,235.52, 3,354.08 and 1,082.08 is: 1,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.52 : 3,354.08 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    2,235.52/3,354.08 = 1,082.08/x
  3. Step 3: Cross multiply
    2,235.52x = 3,354.08 × 1,082.08
  4. Step 4: Simplify right side
    2,235.52x = 3,629,382.89
  5. Step 5: Solve for x
    x = 3,629,382.89/2,235.52
  6. Step 6: Final answer
    x = 1,623.51

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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.