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Finding the Fourth Proportional to 3,103.80, 4,282.98 and 1,706.60

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Solution

The fourth proportional to 3,103.80, 4,282.98 and 1,706.60 is: 2,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.80 : 4,282.98 = 1,706.60 : x
  2. Step 2: Convert to fraction form
    3,103.80/4,282.98 = 1,706.60/x
  3. Step 3: Cross multiply
    3,103.80x = 4,282.98 × 1,706.60
  4. Step 4: Simplify right side
    3,103.80x = 7,309,333.67
  5. Step 5: Solve for x
    x = 7,309,333.67/3,103.80
  6. Step 6: Final answer
    x = 2,354.96

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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.