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Finding the Fourth Proportional to 2,885.58, 3,982.01 and 1,706.63

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Solution

The fourth proportional to 2,885.58, 3,982.01 and 1,706.63 is: 2,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.58 : 3,982.01 = 1,706.63 : x
  2. Step 2: Convert to fraction form
    2,885.58/3,982.01 = 1,706.63/x
  3. Step 3: Cross multiply
    2,885.58x = 3,982.01 × 1,706.63
  4. Step 4: Simplify right side
    2,885.58x = 6,795,789.28
  5. Step 5: Solve for x
    x = 6,795,789.28/2,885.58
  6. Step 6: Final answer
    x = 2,355.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.