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Finding the Fourth Proportional to 2,584.25, 3,876.38 and 1,045.25

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Solution

The fourth proportional to 2,584.25, 3,876.38 and 1,045.25 is: 1,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.25 : 3,876.38 = 1,045.25 : x
  2. Step 2: Convert to fraction form
    2,584.25/3,876.38 = 1,045.25/x
  3. Step 3: Cross multiply
    2,584.25x = 3,876.38 × 1,045.25
  4. Step 4: Simplify right side
    2,584.25x = 4,051,786.20
  5. Step 5: Solve for x
    x = 4,051,786.20/2,584.25
  6. Step 6: Final answer
    x = 1,567.88

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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.