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Finding the Fourth Proportional to 2,768.10, 4,150.71 and 919.02

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Solution

The fourth proportional to 2,768.10, 4,150.71 and 919.02 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.10 : 4,150.71 = 919.02 : x
  2. Step 2: Convert to fraction form
    2,768.10/4,150.71 = 919.02/x
  3. Step 3: Cross multiply
    2,768.10x = 4,150.71 × 919.02
  4. Step 4: Simplify right side
    2,768.10x = 3,814,585.50
  5. Step 5: Solve for x
    x = 3,814,585.50/2,768.10
  6. Step 6: Final answer
    x = 1,378.05

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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.