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Finding the Fourth Proportional to 1,609.22, 2,221.40 and 1,050.17

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Solution

The fourth proportional to 1,609.22, 2,221.40 and 1,050.17 is: 1,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.22 : 2,221.40 = 1,050.17 : x
  2. Step 2: Convert to fraction form
    1,609.22/2,221.40 = 1,050.17/x
  3. Step 3: Cross multiply
    1,609.22x = 2,221.40 × 1,050.17
  4. Step 4: Simplify right side
    1,609.22x = 2,332,836.20
  5. Step 5: Solve for x
    x = 2,332,836.20/1,609.22
  6. Step 6: Final answer
    x = 1,449.67

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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.