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Finding the Fourth Proportional to 2,482.92, 3,728.70 and 2,287.56

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Solution

The fourth proportional to 2,482.92, 3,728.70 and 2,287.56 is: 3,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.92 : 3,728.70 = 2,287.56 : x
  2. Step 2: Convert to fraction form
    2,482.92/3,728.70 = 2,287.56/x
  3. Step 3: Cross multiply
    2,482.92x = 3,728.70 × 2,287.56
  4. Step 4: Simplify right side
    2,482.92x = 8,529,624.97
  5. Step 5: Solve for x
    x = 8,529,624.97/2,482.92
  6. Step 6: Final answer
    x = 3,435.32

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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.