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Finding the Fourth Proportional to 2,584.35, 3,874.25 and 1,025.45

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Solution

The fourth proportional to 2,584.35, 3,874.25 and 1,025.45 is: 1,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.35 : 3,874.25 = 1,025.45 : x
  2. Step 2: Convert to fraction form
    2,584.35/3,874.25 = 1,025.45/x
  3. Step 3: Cross multiply
    2,584.35x = 3,874.25 × 1,025.45
  4. Step 4: Simplify right side
    2,584.35x = 3,972,825.16
  5. Step 5: Solve for x
    x = 3,972,825.16/2,584.35
  6. Step 6: Final answer
    x = 1,537.26

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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.