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Finding the Fourth Proportional to 3,067.22, 4,602.65 and 1,680.30

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Solution

The fourth proportional to 3,067.22, 4,602.65 and 1,680.30 is: 2,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.22 : 4,602.65 = 1,680.30 : x
  2. Step 2: Convert to fraction form
    3,067.22/4,602.65 = 1,680.30/x
  3. Step 3: Cross multiply
    3,067.22x = 4,602.65 × 1,680.30
  4. Step 4: Simplify right side
    3,067.22x = 7,733,832.80
  5. Step 5: Solve for x
    x = 7,733,832.80/3,067.22
  6. Step 6: Final answer
    x = 2,521.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.