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Finding the Fourth Proportional to 2,016.56, 2,782.14 and 1,318.34

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Solution

The fourth proportional to 2,016.56, 2,782.14 and 1,318.34 is: 1,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.56 : 2,782.14 = 1,318.34 : x
  2. Step 2: Convert to fraction form
    2,016.56/2,782.14 = 1,318.34/x
  3. Step 3: Cross multiply
    2,016.56x = 2,782.14 × 1,318.34
  4. Step 4: Simplify right side
    2,016.56x = 3,667,806.45
  5. Step 5: Solve for x
    x = 3,667,806.45/2,016.56
  6. Step 6: Final answer
    x = 1,818.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.