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Finding the Fourth Proportional to 2,613.41, 3,920.10 and 665.75

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Solution

The fourth proportional to 2,613.41, 3,920.10 and 665.75 is: 998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.41 : 3,920.10 = 665.75 : x
  2. Step 2: Convert to fraction form
    2,613.41/3,920.10 = 665.75/x
  3. Step 3: Cross multiply
    2,613.41x = 3,920.10 × 665.75
  4. Step 4: Simplify right side
    2,613.41x = 2,609,806.58
  5. Step 5: Solve for x
    x = 2,609,806.58/2,613.41
  6. Step 6: Final answer
    x = 998.62

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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.