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Finding the Fourth Proportional to 2,765.46, 4,149.53 and 1,378.99

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Solution

The fourth proportional to 2,765.46, 4,149.53 and 1,378.99 is: 2,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.46 : 4,149.53 = 1,378.99 : x
  2. Step 2: Convert to fraction form
    2,765.46/4,149.53 = 1,378.99/x
  3. Step 3: Cross multiply
    2,765.46x = 4,149.53 × 1,378.99
  4. Step 4: Simplify right side
    2,765.46x = 5,722,172.59
  5. Step 5: Solve for x
    x = 5,722,172.59/2,765.46
  6. Step 6: Final answer
    x = 2,069.16

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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.