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Finding the Fourth Proportional to 2,654.66, 3,981.46 and 805.34

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Solution

The fourth proportional to 2,654.66, 3,981.46 and 805.34 is: 1,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.66 : 3,981.46 = 805.34 : x
  2. Step 2: Convert to fraction form
    2,654.66/3,981.46 = 805.34/x
  3. Step 3: Cross multiply
    2,654.66x = 3,981.46 × 805.34
  4. Step 4: Simplify right side
    2,654.66x = 3,206,429.00
  5. Step 5: Solve for x
    x = 3,206,429.00/2,654.66
  6. Step 6: Final answer
    x = 1,207.85

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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.