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Finding the Fourth Proportional to 2,584.82, 3,877.20 and 941.82

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Solution

The fourth proportional to 2,584.82, 3,877.20 and 941.82 is: 1,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.82 : 3,877.20 = 941.82 : x
  2. Step 2: Convert to fraction form
    2,584.82/3,877.20 = 941.82/x
  3. Step 3: Cross multiply
    2,584.82x = 3,877.20 × 941.82
  4. Step 4: Simplify right side
    2,584.82x = 3,651,624.50
  5. Step 5: Solve for x
    x = 3,651,624.50/2,584.82
  6. Step 6: Final answer
    x = 1,412.72

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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.