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Finding the Fourth Proportional to 1,229.52, 1,835.25 and 1,085.34

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Solution

The fourth proportional to 1,229.52, 1,835.25 and 1,085.34 is: 1,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.52 : 1,835.25 = 1,085.34 : x
  2. Step 2: Convert to fraction form
    1,229.52/1,835.25 = 1,085.34/x
  3. Step 3: Cross multiply
    1,229.52x = 1,835.25 × 1,085.34
  4. Step 4: Simplify right side
    1,229.52x = 1,991,870.24
  5. Step 5: Solve for x
    x = 1,991,870.24/1,229.52
  6. Step 6: Final answer
    x = 1,620.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.