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Finding the Fourth Proportional to 1,629.18, 2,442.06 and 806.94

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Solution

The fourth proportional to 1,629.18, 2,442.06 and 806.94 is: 1,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.18 : 2,442.06 = 806.94 : x
  2. Step 2: Convert to fraction form
    1,629.18/2,442.06 = 806.94/x
  3. Step 3: Cross multiply
    1,629.18x = 2,442.06 × 806.94
  4. Step 4: Simplify right side
    1,629.18x = 1,970,595.90
  5. Step 5: Solve for x
    x = 1,970,595.90/1,629.18
  6. Step 6: Final answer
    x = 1,209.56

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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.