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Finding the Fourth Proportional to 2,450.39, 3,676.12 and 718.88

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Solution

The fourth proportional to 2,450.39, 3,676.12 and 718.88 is: 1,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.39 : 3,676.12 = 718.88 : x
  2. Step 2: Convert to fraction form
    2,450.39/3,676.12 = 718.88/x
  3. Step 3: Cross multiply
    2,450.39x = 3,676.12 × 718.88
  4. Step 4: Simplify right side
    2,450.39x = 2,642,668.97
  5. Step 5: Solve for x
    x = 2,642,668.97/2,450.39
  6. Step 6: Final answer
    x = 1,078.47

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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.