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Finding the Fourth Proportional to 2,583, 3,877.68 and 2,446.92

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Solution

The fourth proportional to 2,583, 3,877.68 and 2,446.92 is: 3,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,877.68 = 2,446.92 : x
  2. Step 2: Convert to fraction form
    2,583/3,877.68 = 2,446.92/x
  3. Step 3: Cross multiply
    2,583x = 3,877.68 × 2,446.92
  4. Step 4: Simplify right side
    2,583x = 9,488,372.75
  5. Step 5: Solve for x
    x = 9,488,372.75/2,583
  6. Step 6: Final answer
    x = 3,673.39

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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.