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Finding the Fourth Proportional to 1,274.59, 1,909.05 and 1,173.43

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Solution

The fourth proportional to 1,274.59, 1,909.05 and 1,173.43 is: 1,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.59 : 1,909.05 = 1,173.43 : x
  2. Step 2: Convert to fraction form
    1,274.59/1,909.05 = 1,173.43/x
  3. Step 3: Cross multiply
    1,274.59x = 1,909.05 × 1,173.43
  4. Step 4: Simplify right side
    1,274.59x = 2,240,136.54
  5. Step 5: Solve for x
    x = 2,240,136.54/1,274.59
  6. Step 6: Final answer
    x = 1,757.54

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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.