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Finding the Fourth Proportional to 3,189.94, 4,784.88 and 1,728.76

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Solution

The fourth proportional to 3,189.94, 4,784.88 and 1,728.76 is: 2,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.94 : 4,784.88 = 1,728.76 : x
  2. Step 2: Convert to fraction form
    3,189.94/4,784.88 = 1,728.76/x
  3. Step 3: Cross multiply
    3,189.94x = 4,784.88 × 1,728.76
  4. Step 4: Simplify right side
    3,189.94x = 8,271,909.15
  5. Step 5: Solve for x
    x = 8,271,909.15/3,189.94
  6. Step 6: Final answer
    x = 2,593.12

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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.