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Finding the Fourth Proportional to 1,220.12, 1,834.23 and 946.34

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Solution

The fourth proportional to 1,220.12, 1,834.23 and 946.34 is: 1,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.12 : 1,834.23 = 946.34 : x
  2. Step 2: Convert to fraction form
    1,220.12/1,834.23 = 946.34/x
  3. Step 3: Cross multiply
    1,220.12x = 1,834.23 × 946.34
  4. Step 4: Simplify right side
    1,220.12x = 1,735,796.05
  5. Step 5: Solve for x
    x = 1,735,796.05/1,220.12
  6. Step 6: Final answer
    x = 1,422.65

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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.