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Finding the Fourth Proportional to 2,584.91, 3,876.18 and 735.59

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Solution

The fourth proportional to 2,584.91, 3,876.18 and 735.59 is: 1,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.91 : 3,876.18 = 735.59 : x
  2. Step 2: Convert to fraction form
    2,584.91/3,876.18 = 735.59/x
  3. Step 3: Cross multiply
    2,584.91x = 3,876.18 × 735.59
  4. Step 4: Simplify right side
    2,584.91x = 2,851,259.87
  5. Step 5: Solve for x
    x = 2,851,259.87/2,584.91
  6. Step 6: Final answer
    x = 1,103.04

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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.