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Finding the Fourth Proportional to 2,518.53, 3,780.20 and 1,546.53

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Solution

The fourth proportional to 2,518.53, 3,780.20 and 1,546.53 is: 2,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.53 : 3,780.20 = 1,546.53 : x
  2. Step 2: Convert to fraction form
    2,518.53/3,780.20 = 1,546.53/x
  3. Step 3: Cross multiply
    2,518.53x = 3,780.20 × 1,546.53
  4. Step 4: Simplify right side
    2,518.53x = 5,846,184.97
  5. Step 5: Solve for x
    x = 5,846,184.97/2,518.53
  6. Step 6: Final answer
    x = 2,321.27

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1.5x scale

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.