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Finding the Fourth Proportional to 2,582.85, 3,874.28 and 635.05

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Solution

The fourth proportional to 2,582.85, 3,874.28 and 635.05 is: 952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.85 : 3,874.28 = 635.05 : x
  2. Step 2: Convert to fraction form
    2,582.85/3,874.28 = 635.05/x
  3. Step 3: Cross multiply
    2,582.85x = 3,874.28 × 635.05
  4. Step 4: Simplify right side
    2,582.85x = 2,460,361.51
  5. Step 5: Solve for x
    x = 2,460,361.51/2,582.85
  6. Step 6: Final answer
    x = 952.58

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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.