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Finding the Fourth Proportional to 2,004.94, 2,766.94 and 1,120.81

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Solution

The fourth proportional to 2,004.94, 2,766.94 and 1,120.81 is: 1,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.94 : 2,766.94 = 1,120.81 : x
  2. Step 2: Convert to fraction form
    2,004.94/2,766.94 = 1,120.81/x
  3. Step 3: Cross multiply
    2,004.94x = 2,766.94 × 1,120.81
  4. Step 4: Simplify right side
    2,004.94x = 3,101,214.02
  5. Step 5: Solve for x
    x = 3,101,214.02/2,004.94
  6. Step 6: Final answer
    x = 1,546.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.