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Finding the Fourth Proportional to 2,768.44, 4,153.31 and 919.42

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Solution

The fourth proportional to 2,768.44, 4,153.31 and 919.42 is: 1,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.44 : 4,153.31 = 919.42 : x
  2. Step 2: Convert to fraction form
    2,768.44/4,153.31 = 919.42/x
  3. Step 3: Cross multiply
    2,768.44x = 4,153.31 × 919.42
  4. Step 4: Simplify right side
    2,768.44x = 3,818,636.28
  5. Step 5: Solve for x
    x = 3,818,636.28/2,768.44
  6. Step 6: Final answer
    x = 1,379.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.