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Finding the Fourth Proportional to 2,000.43, 2,994.71 and 1,482.75

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Solution

The fourth proportional to 2,000.43, 2,994.71 and 1,482.75 is: 2,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.43 : 2,994.71 = 1,482.75 : x
  2. Step 2: Convert to fraction form
    2,000.43/2,994.71 = 1,482.75/x
  3. Step 3: Cross multiply
    2,000.43x = 2,994.71 × 1,482.75
  4. Step 4: Simplify right side
    2,000.43x = 4,440,406.25
  5. Step 5: Solve for x
    x = 4,440,406.25/2,000.43
  6. Step 6: Final answer
    x = 2,219.73

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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.