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Finding the Fourth Proportional to 3,005.41, 4,147.65 and 1,679.22

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Solution

The fourth proportional to 3,005.41, 4,147.65 and 1,679.22 is: 2,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.41 : 4,147.65 = 1,679.22 : x
  2. Step 2: Convert to fraction form
    3,005.41/4,147.65 = 1,679.22/x
  3. Step 3: Cross multiply
    3,005.41x = 4,147.65 × 1,679.22
  4. Step 4: Simplify right side
    3,005.41x = 6,964,816.83
  5. Step 5: Solve for x
    x = 6,964,816.83/3,005.41
  6. Step 6: Final answer
    x = 2,317.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.