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Finding the Fourth Proportional to 2,723.60, 3,758.16 and 1,728.80

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Solution

The fourth proportional to 2,723.60, 3,758.16 and 1,728.80 is: 2,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.60 : 3,758.16 = 1,728.80 : x
  2. Step 2: Convert to fraction form
    2,723.60/3,758.16 = 1,728.80/x
  3. Step 3: Cross multiply
    2,723.60x = 3,758.16 × 1,728.80
  4. Step 4: Simplify right side
    2,723.60x = 6,497,107.01
  5. Step 5: Solve for x
    x = 6,497,107.01/2,723.60
  6. Step 6: Final answer
    x = 2,385.49

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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.