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Finding the Fourth Proportional to 2,723.01, 4,086.33 and 991.63

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Solution

The fourth proportional to 2,723.01, 4,086.33 and 991.63 is: 1,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.01 : 4,086.33 = 991.63 : x
  2. Step 2: Convert to fraction form
    2,723.01/4,086.33 = 991.63/x
  3. Step 3: Cross multiply
    2,723.01x = 4,086.33 × 991.63
  4. Step 4: Simplify right side
    2,723.01x = 4,052,127.42
  5. Step 5: Solve for x
    x = 4,052,127.42/2,723.01
  6. Step 6: Final answer
    x = 1,488.11

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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.