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Finding the Fourth Proportional to 1,220.06, 1,834.14 and 1,129.85

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Solution

The fourth proportional to 1,220.06, 1,834.14 and 1,129.85 is: 1,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.06 : 1,834.14 = 1,129.85 : x
  2. Step 2: Convert to fraction form
    1,220.06/1,834.14 = 1,129.85/x
  3. Step 3: Cross multiply
    1,220.06x = 1,834.14 × 1,129.85
  4. Step 4: Simplify right side
    1,220.06x = 2,072,305.02
  5. Step 5: Solve for x
    x = 2,072,305.02/1,220.06
  6. Step 6: Final answer
    x = 1,698.52

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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.