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Finding the Fourth Proportional to 2,480.46, 3,714.02 and 1,308.02

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Solution

The fourth proportional to 2,480.46, 3,714.02 and 1,308.02 is: 1,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.46 : 3,714.02 = 1,308.02 : x
  2. Step 2: Convert to fraction form
    2,480.46/3,714.02 = 1,308.02/x
  3. Step 3: Cross multiply
    2,480.46x = 3,714.02 × 1,308.02
  4. Step 4: Simplify right side
    2,480.46x = 4,858,012.44
  5. Step 5: Solve for x
    x = 4,858,012.44/2,480.46
  6. Step 6: Final answer
    x = 1,958.51

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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.