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Finding the Fourth Proportional to 1,281.70, 1,926.60 and 1,208.80

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Solution

The fourth proportional to 1,281.70, 1,926.60 and 1,208.80 is: 1,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.70 : 1,926.60 = 1,208.80 : x
  2. Step 2: Convert to fraction form
    1,281.70/1,926.60 = 1,208.80/x
  3. Step 3: Cross multiply
    1,281.70x = 1,926.60 × 1,208.80
  4. Step 4: Simplify right side
    1,281.70x = 2,328,874.08
  5. Step 5: Solve for x
    x = 2,328,874.08/1,281.70
  6. Step 6: Final answer
    x = 1,817.02

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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.