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Finding the Fourth Proportional to 2,135.84, 3,205.44 and 1,095.80

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Solution

The fourth proportional to 2,135.84, 3,205.44 and 1,095.80 is: 1,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.84 : 3,205.44 = 1,095.80 : x
  2. Step 2: Convert to fraction form
    2,135.84/3,205.44 = 1,095.80/x
  3. Step 3: Cross multiply
    2,135.84x = 3,205.44 × 1,095.80
  4. Step 4: Simplify right side
    2,135.84x = 3,512,521.15
  5. Step 5: Solve for x
    x = 3,512,521.15/2,135.84
  6. Step 6: Final answer
    x = 1,644.56

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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.