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Finding the Fourth Proportional to 2,584.57, 3,876.83 and 941.57

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Solution

The fourth proportional to 2,584.57, 3,876.83 and 941.57 is: 1,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.57 : 3,876.83 = 941.57 : x
  2. Step 2: Convert to fraction form
    2,584.57/3,876.83 = 941.57/x
  3. Step 3: Cross multiply
    2,584.57x = 3,876.83 × 941.57
  4. Step 4: Simplify right side
    2,584.57x = 3,650,302.12
  5. Step 5: Solve for x
    x = 3,650,302.12/2,584.57
  6. Step 6: Final answer
    x = 1,412.35

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