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Finding the Fourth Proportional to 4,677.67, 7,016.46 and 1,167.66

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Solution

The fourth proportional to 4,677.67, 7,016.46 and 1,167.66 is: 1,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.67 : 7,016.46 = 1,167.66 : x
  2. Step 2: Convert to fraction form
    4,677.67/7,016.46 = 1,167.66/x
  3. Step 3: Cross multiply
    4,677.67x = 7,016.46 × 1,167.66
  4. Step 4: Simplify right side
    4,677.67x = 8,192,839.68
  5. Step 5: Solve for x
    x = 8,192,839.68/4,677.67
  6. Step 6: Final answer
    x = 1,751.48

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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.