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Finding the Fourth Proportional to 4,451.42, 6,676.62 and 1,164.83

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Solution

The fourth proportional to 4,451.42, 6,676.62 and 1,164.83 is: 1,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.42 : 6,676.62 = 1,164.83 : x
  2. Step 2: Convert to fraction form
    4,451.42/6,676.62 = 1,164.83/x
  3. Step 3: Cross multiply
    4,451.42x = 6,676.62 × 1,164.83
  4. Step 4: Simplify right side
    4,451.42x = 7,777,127.27
  5. Step 5: Solve for x
    x = 7,777,127.27/4,451.42
  6. Step 6: Final answer
    x = 1,747.11

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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.