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Finding the Fourth Proportional to 1,645.71, 2,468.52 and 672.51

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Solution

The fourth proportional to 1,645.71, 2,468.52 and 672.51 is: 1,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.71 : 2,468.52 = 672.51 : x
  2. Step 2: Convert to fraction form
    1,645.71/2,468.52 = 672.51/x
  3. Step 3: Cross multiply
    1,645.71x = 2,468.52 × 672.51
  4. Step 4: Simplify right side
    1,645.71x = 1,660,104.39
  5. Step 5: Solve for x
    x = 1,660,104.39/1,645.71
  6. Step 6: Final answer
    x = 1,008.75

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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.