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Finding the Fourth Proportional to 2,668.59, 3,682.62 and 1,489.68

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Solution

The fourth proportional to 2,668.59, 3,682.62 and 1,489.68 is: 2,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.59 : 3,682.62 = 1,489.68 : x
  2. Step 2: Convert to fraction form
    2,668.59/3,682.62 = 1,489.68/x
  3. Step 3: Cross multiply
    2,668.59x = 3,682.62 × 1,489.68
  4. Step 4: Simplify right side
    2,668.59x = 5,485,925.36
  5. Step 5: Solve for x
    x = 5,485,925.36/2,668.59
  6. Step 6: Final answer
    x = 2,055.74

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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.