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Finding the Fourth Proportional to 1,706.80, 2,558.06 and 884.60

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Solution

The fourth proportional to 1,706.80, 2,558.06 and 884.60 is: 1,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.80 : 2,558.06 = 884.60 : x
  2. Step 2: Convert to fraction form
    1,706.80/2,558.06 = 884.60/x
  3. Step 3: Cross multiply
    1,706.80x = 2,558.06 × 884.60
  4. Step 4: Simplify right side
    1,706.80x = 2,262,859.88
  5. Step 5: Solve for x
    x = 2,262,859.88/1,706.80
  6. Step 6: Final answer
    x = 1,325.79

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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.