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Finding the Fourth Proportional to 2,668.58, 3,682.72 and 1,473.66

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Solution

The fourth proportional to 2,668.58, 3,682.72 and 1,473.66 is: 2,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.58 : 3,682.72 = 1,473.66 : x
  2. Step 2: Convert to fraction form
    2,668.58/3,682.72 = 1,473.66/x
  3. Step 3: Cross multiply
    2,668.58x = 3,682.72 × 1,473.66
  4. Step 4: Simplify right side
    2,668.58x = 5,427,077.16
  5. Step 5: Solve for x
    x = 5,427,077.16/2,668.58
  6. Step 6: Final answer
    x = 2,033.69

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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.