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Finding the Fourth Proportional to 1,766.82, 2,651.13 and 671.88

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Solution

The fourth proportional to 1,766.82, 2,651.13 and 671.88 is: 1,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.82 : 2,651.13 = 671.88 : x
  2. Step 2: Convert to fraction form
    1,766.82/2,651.13 = 671.88/x
  3. Step 3: Cross multiply
    1,766.82x = 2,651.13 × 671.88
  4. Step 4: Simplify right side
    1,766.82x = 1,781,241.22
  5. Step 5: Solve for x
    x = 1,781,241.22/1,766.82
  6. Step 6: Final answer
    x = 1,008.16

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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.