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Finding the Fourth Proportional to 2,847.94, 4,273.84 and 999.04

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Solution

The fourth proportional to 2,847.94, 4,273.84 and 999.04 is: 1,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.94 : 4,273.84 = 999.04 : x
  2. Step 2: Convert to fraction form
    2,847.94/4,273.84 = 999.04/x
  3. Step 3: Cross multiply
    2,847.94x = 4,273.84 × 999.04
  4. Step 4: Simplify right side
    2,847.94x = 4,269,737.11
  5. Step 5: Solve for x
    x = 4,269,737.11/2,847.94
  6. Step 6: Final answer
    x = 1,499.24

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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.