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Finding the Fourth Proportional to 2,503.76, 3,755.46 and 1,414.94

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Solution

The fourth proportional to 2,503.76, 3,755.46 and 1,414.94 is: 2,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.76 : 3,755.46 = 1,414.94 : x
  2. Step 2: Convert to fraction form
    2,503.76/3,755.46 = 1,414.94/x
  3. Step 3: Cross multiply
    2,503.76x = 3,755.46 × 1,414.94
  4. Step 4: Simplify right side
    2,503.76x = 5,313,750.57
  5. Step 5: Solve for x
    x = 5,313,750.57/2,503.76
  6. Step 6: Final answer
    x = 2,122.31

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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.