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Finding the Fourth Proportional to 2,134.67, 3,203.99 and 1,095.42

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Solution

The fourth proportional to 2,134.67, 3,203.99 and 1,095.42 is: 1,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.67 : 3,203.99 = 1,095.42 : x
  2. Step 2: Convert to fraction form
    2,134.67/3,203.99 = 1,095.42/x
  3. Step 3: Cross multiply
    2,134.67x = 3,203.99 × 1,095.42
  4. Step 4: Simplify right side
    2,134.67x = 3,509,714.73
  5. Step 5: Solve for x
    x = 3,509,714.73/2,134.67
  6. Step 6: Final answer
    x = 1,644.15

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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.