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Finding the Fourth Proportional to 1,221.89, 1,834.85 and 675.14

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Solution

The fourth proportional to 1,221.89, 1,834.85 and 675.14 is: 1,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.89 : 1,834.85 = 675.14 : x
  2. Step 2: Convert to fraction form
    1,221.89/1,834.85 = 675.14/x
  3. Step 3: Cross multiply
    1,221.89x = 1,834.85 × 675.14
  4. Step 4: Simplify right side
    1,221.89x = 1,238,773.14
  5. Step 5: Solve for x
    x = 1,238,773.14/1,221.89
  6. Step 6: Final answer
    x = 1,013.82

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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.