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Finding the Fourth Proportional to 2,756.40, 4,135.80 and 1,294.80

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Solution

The fourth proportional to 2,756.40, 4,135.80 and 1,294.80 is: 1,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.40 : 4,135.80 = 1,294.80 : x
  2. Step 2: Convert to fraction form
    2,756.40/4,135.80 = 1,294.80/x
  3. Step 3: Cross multiply
    2,756.40x = 4,135.80 × 1,294.80
  4. Step 4: Simplify right side
    2,756.40x = 5,355,033.84
  5. Step 5: Solve for x
    x = 5,355,033.84/2,756.40
  6. Step 6: Final answer
    x = 1,942.76

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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.