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Finding the Fourth Proportional to 2,221.56, 3,065.69 and 1,213.29

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Solution

The fourth proportional to 2,221.56, 3,065.69 and 1,213.29 is: 1,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.56 : 3,065.69 = 1,213.29 : x
  2. Step 2: Convert to fraction form
    2,221.56/3,065.69 = 1,213.29/x
  3. Step 3: Cross multiply
    2,221.56x = 3,065.69 × 1,213.29
  4. Step 4: Simplify right side
    2,221.56x = 3,719,564.95
  5. Step 5: Solve for x
    x = 3,719,564.95/2,221.56
  6. Step 6: Final answer
    x = 1,674.30

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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.