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Finding the Fourth Proportional to 2,004.02, 2,766.84 and 1,793.84

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Solution

The fourth proportional to 2,004.02, 2,766.84 and 1,793.84 is: 2,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.02 : 2,766.84 = 1,793.84 : x
  2. Step 2: Convert to fraction form
    2,004.02/2,766.84 = 1,793.84/x
  3. Step 3: Cross multiply
    2,004.02x = 2,766.84 × 1,793.84
  4. Step 4: Simplify right side
    2,004.02x = 4,963,254.43
  5. Step 5: Solve for x
    x = 4,963,254.43/2,004.02
  6. Step 6: Final answer
    x = 2,476.66

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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.