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Finding the Fourth Proportional to 2,221.56, 3,047.90 and 2,164.05

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Solution

The fourth proportional to 2,221.56, 3,047.90 and 2,164.05 is: 2,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.56 : 3,047.90 = 2,164.05 : x
  2. Step 2: Convert to fraction form
    2,221.56/3,047.90 = 2,164.05/x
  3. Step 3: Cross multiply
    2,221.56x = 3,047.90 × 2,164.05
  4. Step 4: Simplify right side
    2,221.56x = 6,595,797.17
  5. Step 5: Solve for x
    x = 6,595,797.17/2,221.56
  6. Step 6: Final answer
    x = 2,968.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.