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Finding the Fourth Proportional to 2,725.35, 3,758.85 and 2,306.85

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Solution

The fourth proportional to 2,725.35, 3,758.85 and 2,306.85 is: 3,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.35 : 3,758.85 = 2,306.85 : x
  2. Step 2: Convert to fraction form
    2,725.35/3,758.85 = 2,306.85/x
  3. Step 3: Cross multiply
    2,725.35x = 3,758.85 × 2,306.85
  4. Step 4: Simplify right side
    2,725.35x = 8,671,103.12
  5. Step 5: Solve for x
    x = 8,671,103.12/2,725.35
  6. Step 6: Final answer
    x = 3,181.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.