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Finding the Fourth Proportional to 4,462.67, 6,693.96 and 1,342.66

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Solution

The fourth proportional to 4,462.67, 6,693.96 and 1,342.66 is: 2,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.67 : 6,693.96 = 1,342.66 : x
  2. Step 2: Convert to fraction form
    4,462.67/6,693.96 = 1,342.66/x
  3. Step 3: Cross multiply
    4,462.67x = 6,693.96 × 1,342.66
  4. Step 4: Simplify right side
    4,462.67x = 8,987,678.86
  5. Step 5: Solve for x
    x = 8,987,678.86/4,462.67
  6. Step 6: Final answer
    x = 2,013.97

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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.