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Finding the Fourth Proportional to 4,693, 7,039.42 and 1,183

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Solution

The fourth proportional to 4,693, 7,039.42 and 1,183 is: 1,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693 : 7,039.42 = 1,183 : x
  2. Step 2: Convert to fraction form
    4,693/7,039.42 = 1,183/x
  3. Step 3: Cross multiply
    4,693x = 7,039.42 × 1,183
  4. Step 4: Simplify right side
    4,693x = 8,327,633.86
  5. Step 5: Solve for x
    x = 8,327,633.86/4,693
  6. Step 6: Final answer
    x = 1,774.48

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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.