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Finding the Fourth Proportional to 2,767.93, 4,151.84 and 919.06

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Solution

The fourth proportional to 2,767.93, 4,151.84 and 919.06 is: 1,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.93 : 4,151.84 = 919.06 : x
  2. Step 2: Convert to fraction form
    2,767.93/4,151.84 = 919.06/x
  3. Step 3: Cross multiply
    2,767.93x = 4,151.84 × 919.06
  4. Step 4: Simplify right side
    2,767.93x = 3,815,790.66
  5. Step 5: Solve for x
    x = 3,815,790.66/2,767.93
  6. Step 6: Final answer
    x = 1,378.57

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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.