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Finding the Fourth Proportional to 1,245.96, 1,866.20 and 1,221.06

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Solution

The fourth proportional to 1,245.96, 1,866.20 and 1,221.06 is: 1,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.96 : 1,866.20 = 1,221.06 : x
  2. Step 2: Convert to fraction form
    1,245.96/1,866.20 = 1,221.06/x
  3. Step 3: Cross multiply
    1,245.96x = 1,866.20 × 1,221.06
  4. Step 4: Simplify right side
    1,245.96x = 2,278,742.17
  5. Step 5: Solve for x
    x = 2,278,742.17/1,245.96
  6. Step 6: Final answer
    x = 1,828.90

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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.