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Finding the Fourth Proportional to 2,584.37, 3,876.45 and 735.48

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Solution

The fourth proportional to 2,584.37, 3,876.45 and 735.48 is: 1,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.37 : 3,876.45 = 735.48 : x
  2. Step 2: Convert to fraction form
    2,584.37/3,876.45 = 735.48/x
  3. Step 3: Cross multiply
    2,584.37x = 3,876.45 × 735.48
  4. Step 4: Simplify right side
    2,584.37x = 2,851,051.45
  5. Step 5: Solve for x
    x = 2,851,051.45/2,584.37
  6. Step 6: Final answer
    x = 1,103.19

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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.