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Finding the Fourth Proportional to 2,668.68, 3,682.71 and 1,489.73

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Solution

The fourth proportional to 2,668.68, 3,682.71 and 1,489.73 is: 2,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.68 : 3,682.71 = 1,489.73 : x
  2. Step 2: Convert to fraction form
    2,668.68/3,682.71 = 1,489.73/x
  3. Step 3: Cross multiply
    2,668.68x = 3,682.71 × 1,489.73
  4. Step 4: Simplify right side
    2,668.68x = 5,486,225.15
  5. Step 5: Solve for x
    x = 5,486,225.15/2,668.68
  6. Step 6: Final answer
    x = 2,055.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.