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Finding the Fourth Proportional to 2,221.72, 3,065.88 and 1,226.96

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Solution

The fourth proportional to 2,221.72, 3,065.88 and 1,226.96 is: 1,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.72 : 3,065.88 = 1,226.96 : x
  2. Step 2: Convert to fraction form
    2,221.72/3,065.88 = 1,226.96/x
  3. Step 3: Cross multiply
    2,221.72x = 3,065.88 × 1,226.96
  4. Step 4: Simplify right side
    2,221.72x = 3,761,712.12
  5. Step 5: Solve for x
    x = 3,761,712.12/2,221.72
  6. Step 6: Final answer
    x = 1,693.15

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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.