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Finding the Fourth Proportional to 2,482.03, 3,722.11 and 1,000.75

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Solution

The fourth proportional to 2,482.03, 3,722.11 and 1,000.75 is: 1,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.03 : 3,722.11 = 1,000.75 : x
  2. Step 2: Convert to fraction form
    2,482.03/3,722.11 = 1,000.75/x
  3. Step 3: Cross multiply
    2,482.03x = 3,722.11 × 1,000.75
  4. Step 4: Simplify right side
    2,482.03x = 3,724,896.58
  5. Step 5: Solve for x
    x = 3,724,896.58/2,482.03
  6. Step 6: Final answer
    x = 1,500.75

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Half scale
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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.