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Finding the Fourth Proportional to 2,885.74, 3,982.30 and 1,706.78

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Solution

The fourth proportional to 2,885.74, 3,982.30 and 1,706.78 is: 2,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.74 : 3,982.30 = 1,706.78 : x
  2. Step 2: Convert to fraction form
    2,885.74/3,982.30 = 1,706.78/x
  3. Step 3: Cross multiply
    2,885.74x = 3,982.30 × 1,706.78
  4. Step 4: Simplify right side
    2,885.74x = 6,796,915.68
  5. Step 5: Solve for x
    x = 6,796,915.68/2,885.74
  6. Step 6: Final answer
    x = 2,355.35

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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.