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Finding the Fourth Proportional to 2,723.14, 4,085.31 and 991.75

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Solution

The fourth proportional to 2,723.14, 4,085.31 and 991.75 is: 1,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.14 : 4,085.31 = 991.75 : x
  2. Step 2: Convert to fraction form
    2,723.14/4,085.31 = 991.75/x
  3. Step 3: Cross multiply
    2,723.14x = 4,085.31 × 991.75
  4. Step 4: Simplify right side
    2,723.14x = 4,051,606.19
  5. Step 5: Solve for x
    x = 4,051,606.19/2,723.14
  6. Step 6: Final answer
    x = 1,487.84

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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.