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Finding the Fourth Proportional to 2,582.58, 3,874.50 and 939.60

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Solution

The fourth proportional to 2,582.58, 3,874.50 and 939.60 is: 1,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.58 : 3,874.50 = 939.60 : x
  2. Step 2: Convert to fraction form
    2,582.58/3,874.50 = 939.60/x
  3. Step 3: Cross multiply
    2,582.58x = 3,874.50 × 939.60
  4. Step 4: Simplify right side
    2,582.58x = 3,640,480.20
  5. Step 5: Solve for x
    x = 3,640,480.20/2,582.58
  6. Step 6: Final answer
    x = 1,409.63

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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.