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Finding the Fourth Proportional to 2,512.76, 3,766.20 and 1,894.48

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Solution

The fourth proportional to 2,512.76, 3,766.20 and 1,894.48 is: 2,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.76 : 3,766.20 = 1,894.48 : x
  2. Step 2: Convert to fraction form
    2,512.76/3,766.20 = 1,894.48/x
  3. Step 3: Cross multiply
    2,512.76x = 3,766.20 × 1,894.48
  4. Step 4: Simplify right side
    2,512.76x = 7,134,990.58
  5. Step 5: Solve for x
    x = 7,134,990.58/2,512.76
  6. Step 6: Final answer
    x = 2,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.